Here are the details of the 636 picks-only trades made in the NFL draft since 1993, in order of the highest pick traded by the team moving down. (This list does not include three trades in which a team moved down for no additional compensation.) I believe this list is complete, but any additions or corrections are welcome.
1 = 4, 65, next 1st, next 5th
1 = 5, 36
1 = 6, 67, 102, 207
1, 113, 177 = 15, 43, 45, 76, next 1st, next 3rd
2 = 3, 67, 111, next 3rd
2 = 6, 39, next 1st, 1st in two years
2, next 4th or 5th = 8, 77, 100, next 1st, 2nd in two years
3 = 12, 24, 119, 154
3 = 12, 42
3 = 12, next 1st, next 3rd, 1st in two years
3 = 4, 118, 139, 211
3 = 6, 37, 49, next 2nd
3, 63 = 11, 41, 70, 100
4 = 9, next 1st, next 4th
4 = 13, 22, 116
5 = 7, 83
5 = 7, 101
5 = 12, 71, 107, 144, 179, 218, next 1st, next 3rd
6 = 7, 37
6 = 8, 104
6 = 8, 75, next 6th
6 = 12, 63
6, 156 = 12, 123, next 1st
6 = 14, 45
6, 37, 102 = 17, 18, 54
6 = 27, 59, 124, next 1st, next 4th
7, 191 = 9, 82, 222
7, 164 = 10, 78
7 = 12, 71, 106, 143, next 3rd
7, 255 = 12, 53, 56
7, 72 = 12, 43, 63
7 = 15, 56, 100
8 = 9, 145
8, 176 = 15, 76, next 2nd
8, 71 = 16, 46, 78, 222
8 = 26, 71, 89, 125
9 = 11, 106
9 = 17, 48, 109
10 = 15, 45
10 = 15, 79, 152
10 = 16, 49
10 = 20, 52, next 3rd
10 = 27, 91, next 1st
10 = 30, 94, 119, next 1st
11 = 13, 113
11 = 14, 83
11 = 15, 68
12 = 13, 144
12 = 13, 181
12 = 15, 114, 172
12 = 16, 48
12 = 25, next 1st
13 = 14, 193
13, 245 = 14, 117
13 = 16, next 3rd
13 = 18, 83, 201
13, 110 = 18, 91, 116, 181
13 = 19, 75
13 = 24, 70, 87
14 = 15, 110
14 = 21, 51
14, 191 = 25, 59, 164
14 = 27, 147, next 1st
15 = 17, 117, next 5th
15, 76 = 17, 66, 136
15 = 30, 62
16 = 20, 89
16, 154 = 22, 65
16 = 27, 92, 200
16 = 28, 58
17 = 18, 158
17 = 19, 191
17 = 20, 82, 191
17 = 21, 86, 198
17 = 21, 91
18 = 20, 116
18 = 21, 89
18 = 26, 89, 173
18, 248 = 27, 76, 186
18 = 31, 74
19 = 20, 119
19 = 21, 195
19 = 29, 60
19 = 31, 97, 134, next 4th
19 = 41, next 1st
19 = 43, 109, next 1st
20 = 22, 140
20 = 26, 81
20 = 27, 91
20, 156 = 28, 60
21 = 22, next 6th
21 = 27, 70
21 = 27, 93
21 = 30, 114, 118
21 = 32, 96, 234
21, 84, 154 = 34, 48, 103
22 = 24, 113
22 = 25, 127, 197
22 = 25, 155, next 3rd
22, 215 = 25, 125
22 = 26, 83
22 = 30, 91, 193
22, 7th in two years = 30, 92, 198
22, 188 = 32, 63, 173
22 = 36, next 1st
22 = 37, 68
22 = 43, 144, next 1st
23 = 26, 105
23 = 26, 162
23, 217 = 28, 62
23 = 34, 59
23 = 37, 71
24 = 26, 123
24 = 27, 134
24, 119 = 27, 90
25 = 28, 163, 235
25 = 31, 117, 176
25 = 31, 126
25 = 32, 96, 129
25 = 43, 70, 114
25 = 76, next 1st, next 4th
26 = 30, 136
26 = 31, 94
26 = 31, 95, 249
26 = 36, 87, 159
26, 162 = 41, 73, 83
26 = 42, 73
26 = 46, next 2nd
27 = 39, 70, 142
27, 159 = 40, 71, 103, 138
28 = 31, 127
28, 249 = 37, 105, 178
28 = 41, 63
28 = 56, next 1st
28 = 110, next 1st
29 = 33, 108
29 = 34, 98, 100
29 = 35, 98
29, 90 = 38, 69, 125
29 = 40, next 2nd
29, 112 = 46, 54, 94, 213
29 = 52, 83, 102, 229
30, 128 = 34, 100, 214
30 = 36, 105, next 5th
30 = 36, 113
30 = 37, 67
30 = 37, 132, 142
31 = 34, 111
31, 126 = 36, 101
31, 203 = 45, 79
32 = 40, 108
32, 132 = 52, 125, next 2nd
33 = 36, 120
33 = 38, 105
33 = 40, 71
33 = 40, 108, 245
34 = 35, 187
34 = 40, 216, next 3rd
34 = 43, 74
34 = 47, 78
35, 140, 235 = 38, 109
35 = 53, 189, next 2nd
36 = 38, 146
36, 117 = 41, 75
36 = 45, 108, 141
36, 221 = 45, 119, 177, next 4th
36 = 52, 75
37 = 40, 118
37 = 40, 144
37 = 41, 113
37, 149 = 44, 91
37 = 47, 77
37, 139 = 47, 93, 148
37 = 52, 81
37 = 62, 93, 167, next 3rd
37 = next 1st
38 = 40, 158
38 = 40, 173
38 = 42, 107
38 = 44, 107
38 = 45, 110
38 = 55, 86
39 = 42, 153
39 = 45, 116
39 = 50, 112
40, 146 = 45, 111, 227
40, 102 = 47, 78, 111
40, 164 = 47, 124, 199
41 = 44, 121
41 = 44, 153
41 = 44, 160
41 = 46, 110
41 = 48, 128
41, 82, 110, 138 = 48, next 1st
41 = 49, 117, next 4th
41 = 56, 87, 149
41 = 57, 89
41 = 57, 89, 201
41 = 58, 81
41 = next 1st
42 = 44, 190
42 = 52, 125, 182
42 = 54, 122
42 = 126, next 1st
42 = next 1st
43 = 47, 154, 232
43, 152 = 47, 117
43 = 51, 117
43, 229 = 51, 116, 195
43 = 54, 84, next 6th
43 = 1st in two years
43, 111 = next 1st
44 = 49, 107
44 = 56, 87
44 = 59, 73, 163
44, 142 = 59, 74
45 = 50, 120
45 = 50, 150
45 = 53, 114
45 = 54, 121
45 = 56, 101
46 = 49, 144
46 = 52, 117
46, 100 = 54, 78
47, 191 = 52, 145, 156
47 = 58, 89
47, 235 = 63, 89, 191
48 = 50, 151
48 = 50, 173
48 = 57, 125, 248
48 = 59, 101
48, 116 = 62, 202, next 2nd
49 = 52, 169
49 = 53, 152
49 = 53, 189, 211
49 = 56, 124
49 = 60, 99
49 = 68, 105
50 = 52, 195
50 = 57, 125
51 = 57, 120
51 = 58, 110
51 = 59, 123
51 = 62, 93
51 = 75, 110
51 = 105, next 2nd
51 = next 1st
52 = 55, 125
52 = 56, 122
52, 96 = 56, 87
52 = 58, 158, next 7th
53 = 62, 127
53, 195 = 67, 103, 178
53 = 70, 81
53 = 84, 149, 175, 190
54 = 65, 101
55 = 57, 190, 227
55 = 58, 158
55 = 59, 125
55 = 61, 173
55 = 65, 100, 213
55 = 70, 102
56 = 61, 165
56 = 61, 167
56 = 62, 165, 199
56 = 63, 117
56, 242 = 63, 171, next 4th
57 = 63, 171
57, 157, 209 = 75, 107, 154, 205
57 = 76, 124, 149
58 = 62, 150
58 = 66, 145
58, 233 = 68, 126
59, 161 = 68, 141, 173
59 = 71, 134, 146
59 = 74, 106
59 = 1st in two years
60, 129 = 71, 98
60 = 73, 138
60 = 79, 143, 172
60, 99 = 79, 98, 134, 150
61, 128 = 65, 109
61 = 68, 135
61 = 69, 102
61 = 70, 150
61 = 74, 101
61 = 78, 112
61 = 78, 114
62 = 79, 146, 217
62 = 90, 163
63, 129 = 72, 104, 140
63 = 75, 149, 156
64 = 66, 176
64 = 67, 178
64 = 69, 148
64 = 77, 118
64, 132 = 79, 84
64 = 82, 104
64 = 83, 95
64 = 84, 195, next 3rd
65 = 67, 195
65 = 73, 127
65 = 75, 152, 212
65 = 76, 115, 228
65 = 89, 115, 121
67 = 73, 145
67 = 81, 116
67 = 87, 120
67 = 88, 191, 229, next 6th
67 = 229, next 2nd
69 = 71, 217
69 = 86, 119
69 = 95, 112, 167, 181
69 = 160, next 2nd
70 = 72, 232
70 = 79, 160
70 = 82, 115
70 = 85, 116
70 = 94, 99
71 = 76, 220
71 = 84, 188
71 = 86, 122
72 = 81, 152
72, 200 = 83, 124
72 = 86, 118
73 = 78, 183
73, 205 = 87, 162, next 4th
73 = 232, next 2nd
74, 244 = 88, next 3rd
75, 197 = 85, 149, 182
75 = 86, 122
76 = 79, 220
76 = 80, 182
76 = 80, 193
76 = 86, 119, 195
77 = 86, 156
77, 141 = 93, 129, 168
77 = 98, 115
78 = next 2nd
79 = 89, 118
79 = 91, 173, next 4th
79 = 94, 127
80 = 88, 143
80 = 92, 125
80 = 94, 152
81 = 88, 204
81, 151 = 139, next 2nd
82 = 88, 155
82 = 104, 109
82 = 108, 120, 227
83 = 101, 141
83, 262 = next 2nd
84 = 90, 160
84 = 91, 164
85 = 90, 191
85 = 91, 164
85 = 96, 124
86 = 101, 166, 203
86 = 104, 132, 245
86 = 119, 154
86 = 186, next 3rd, next 4th
87 = 89, 217
87 = 102, 153
88, 209 = 92, 159
88 = 93, 216
88 = 101, 147
88, 187 = next 2nd
89 = 115, 126
89 = next 2nd
89 = next 2nd
91, 159 = 100, 139, 172
91 = 137, 213, next 3rd
91 = 211, next 3rd
92 = 93, 217
92 = 97, next 5th
92 = 100, 156
92 = 111, next 4th
92, 125 = 219, next 2nd
93 = 102, 144
93 = 102, 191, 193
93 = 103, 124, 154
93 = 105, 179
93 = 109, 146, 224
93 = 109, 183
94 = 102, 175
94 = 102, 180
95 = 106, 180
96 = 99, 171
96, 219 = 111, 147, 202
96 = 112, 131
96 = 112, 139
96 = 112, 155
97, 162 = 101, 133
97 = 103, 196, next 6th
97 = 112, 137
98 = 101, 210
98 = 108, 132
98, next 7th = 113, 125
99 = 110, 138
99 = 110, 146
100 = 104, 213
100 = 112, 181
100 = 114, 154
101 = 125, 129, next 6th
102 = 106, 182
102 = 112, 142
102 = 113, 162
102 = 124, 161, 242
103 = 104, 229
103 = 124, 157
103 = 180, next 3rd
104 = 109, 219
104 = 110, 183, 198
104 = 112, 147
104 = 116, next 4th
104 = 122, 155
104 = 125, 150, 225
104 = next 3rd
105 = 114, 178
105 = 116, 168
105, 178 = 127, 144, 152
105 = 130, 169, 203, 244
107 = 116, 165
107 = 121, 135
107 = 123, 163
107 = 125, 204
109 = 113, 191
109 = 115, 185
109 = 119, 193
109 = 121, 172
109 = 129, 135
110 = 115, 208
110 = 116, 187
111 = 117, 186
111 = 121, 196
111 = 122, 159, 235
111 = 123, 199
111 = 136, 141
111 = next 3rd
111 = next 3rd
111 = next 3rd
112 = 117, 197
112 = 119, 156
112 = 119, 192
112 = 120, 154
112 = 121, 170, 173
112 = 124, 198
112 = next 3rd
113 = 117, 206
113 = next 3rd
114 = 120, 204
114 = next 3rd
115, 175 = 120, 158
116, 168 = 121, 157
116 = 123, 198, 241
116 = next 3rd
117 = 120, 229
117 = 125, 196
117 = 131, 144
117 = 139, 154
119 = 126, 179
119 = 147, next 5th
120 = 126, 169
120 = 128, 157
120 = 152, next 5th
121 = 143, 161
121 = 176, 233, next 3rd
122 = 147, 189
123 = 127, 185
123 = 130, 194
123 = 130, 201
123 = 136, next 6th
123, 198 = 137, 141
123 = 157, 166, 203
124 = 128, 218
125 = 141, 197
125 = 146, 173
126 = 136, 248, 250
126, 252 = 145, 175
126 = 167, 175, 245
128 = 137, 217
129, 204 = 141, 186
131, 246 = 156, next 5th
132 = 139, 230
132, next 6th = 148, next 4th
134, 243 = 162, 167
135 = 137, 230
135 = 149, 189
135 = 161, 162
136 = 147, 197
136 = 149, 213
137 = 146, 185
137 = 150, 209
137 = 165, 199
137 = 199, 203, 215
137 = next 4th
138 = 150, 189
138 = 152, 226
138 = 158, 195
138 = 162, 197
138 = 215, next 4th
138, 223 = 219, next 4th
138 = next 4th
139 = 170, 180
139 = next 4th
140 = 159, 185
140 = 180, 222
141 = 156, 210
143 = 155, 213
143 = 176, 193, 218
144 = 146, 218
144 = 155, 231
145 = 154, 186
145 = 155, 227
145 = 158, 229
145, 206 = next 4th
146 = 158, 229
146 = 159, next 5th
146 = 164, next 5th
146, 163 = next 3rd
146, 218 = next 3rd
147 = 165, 203
147 = 166, 247
147 = 196, 204, 250
147, 243 = 225, next 4th
148 = 158, 230
148 = 168, 225
148 = next 4th
149 = 156, 226
149 = 158, 218
149 = 180, 216
149 = 194, 198, 203
149 = 221, next 5th
150, 200 = 153, 189
150 = 158, 221
150 = 168, 170
150 = 170, 209
151 = 165, 224
152 = 156, next 6th
152 = 162, 215
153 = 160, 222
153 = 160, 238
153, 227 = 161, 194
153 = 163, 236
154, 225 = 164, 201, 243
154 = 175, 231
155 = 164, 214
155 = next 4th
156 = 182, 206
157 = 167, 225
157, 228 = 168, 180
157 = 176, next 6th
157 = next 4th
158 = next 4th
158 = next 4th
159 = 162, 239
159 = 175, 210
160, 224 = 181, 188
160 = 183, 217
160 = 184, 198
163 = 167, 246
163 = 174, 219
163 = 174, 231
163 = 197, 224, 235
164, 194 = 166, 184
164 = 173, 227
164 = 222, next 5th
165 = 179, 218
166 = 185, 244
167, 225 = 180, 204
167 = 187, next 6th
168 = 182, 220
168 = 237, next 5th
169, 219 = 208, 210, 248
170 = 187, 191
170 = next 5th
172 = 175, 238
173, 227 = 196, 200, 233
174, 231 = 179, 218
174 = 184, 207
174 = 186, 219
174 = 235, next 5th
175 = 195, 246
175 = 230, next 5th
176 = 184, 233
178 = 186, 228
179 = 188, 226
181 = 226, 247
182 = 195, 233
182 = 205, 223
182 = 212, 213
186 = 196, 227
187 = 212, 237
188 = 196, 240
189 = 196, 229
191 = next 5th
191 = next 5th
191 = next 6th
192 = next 5th
194 = 244, 256
195 = 200, 234
197, 256 = 205, 231
197 = 213, 236
198 = 233, 243
199, 230 = 201, 220
200 = 207, 241
200 = next 6th
201, 219 = 225, next 5th
202 = 216, next 6th
207 = 217, 227
207 = 221, 253
208 = 221, 231
208 = 229, 231
209, 225 = 223, 232, 254
211 = 216, 239
211 = next 6th
212 = next 6th
215, 219, 226 = next 4th
215 = next 6th
218 = next 6th
220 = next 6th
222 = next 6th
223 = 237, next 7th
225, 232 = next 5th
231 = next 6th
233 = 250, next 7th
236 = next 6th
237 = next 6th
237 = next 6th
237 = next 7th
238 = next 6th
238 = next 6th
240 = next 6th
245 = next 6th
246 = next 6th
251 = next 6th
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