Here are the details of the 580 picks-only trades made in the NFL draft since 1993, in order of the highest pick traded by the team moving up. (This list does not include three trades in which a team moved down for no additional compensation, nor does it include 56 trades in which a team traded only one or more picks in future years for one or more picks in the "current" year's draft at the time of the trade.) I believe this list is complete, but any additions or corrections are welcome.
3, 67, 111, next 3rd = 2
4, 65, next 1st, next 5th = 1
4, 118, 139, 211 = 3
5, 36 = 1
6, 67, 102, 207 = 1
6, 39, next 1st, 1st in two years = 2
6, 37, 49, next 2nd = 3
7, 83 = 5
7, 101 = 5
7, 37 = 6
8, 77, 100, next 1st, 2nd in two years = 2, next 4th or 5th
8, 75, next 6th = 6
8, 104 = 6
9, next 1st, next 4th = 4
9, 82, 222 = 7, 191
9, 145 = 8
10, 78 = 7, 164
11, 41, 70, 100 = 3, 63
11, 106 = 9
12, 24, 119, 154 = 3
12, 42 = 3
12, next 1st, next 3rd, 1st in two years = 3
12, 71, 107, 144, 179, 218, next 1st, next 3rd = 5
12, 63 = 6
12, 123, next 1st = 6, 156
12, 43, 63 = 7, 72
12, 53, 56 = 7, 255
12, 71, 106, 143, next 3rd = 7
13, 22, 116 = 4
13, 113 = 11
13, 144 = 12
13, 181 = 12
14, 45 = 6
14, 83 = 11
14, 193 = 13
14, 117 = 13, 245
15, 43, 45, 76, next 1st, next 3rd = 1, 113, 177
15, 56, 100 = 7
15, 76, next 2nd = 8, 176
15, 79, 152 = 10
15, 45 = 10
15, 68 = 11
15, 114, 172 = 12
15, 110 = 14
16, 46, 78, 222 = 8, 71
16, 49 = 10
16, 48 = 12
16, next 3rd = 13
17, 18, 54 = 6, 37, 102
17, 48, 109 = 9
17, 117, next 5th = 15
17, 66, 136 = 15, 76
18, 83, 201 = 13
18, 91, 116, 181 = 13, 110
18, 158 = 17
19, 75 = 13
19, 191 = 17
20, 52, next 3rd = 10
20, 89 = 16
20, 82, 191 = 17
20, 116 = 18
20, 119 = 19
21, 51 = 14
21, 86, 198 = 17
21, 91 = 17
21, 89 = 18
21, 195 = 19
22, 65 = 16, 154
22, 140 = 20
22, next 6th = 21
24, 70, 87 = 13
24, 113 = 22
25, next 1st = 12
25, 59, 164 = 14, 191
25, 127, 197 = 22
25, 155, next 3rd = 22
25, 125 = 22, 215
26, 71, 89, 125 = 8
26, 89, 173 = 18
26, 81 = 20
26, 83 = 22
26, 105 = 23
26, 162 = 23
26, 123 = 24
27, 59, 124, next 1st, next 4th = 6
27, 91, next 1st = 10
27, 147, next 1st = 14
27, 92, 200 = 16
27, 76, 186 = 18, 248
27, 91 = 20
27, 70 = 21
27, 93 = 21
27, 90 = 24, 119
27, 134 = 24
28, 58 = 16
28, 60 = 20, 156
28, 62 = 23, 217
28, 163, 235 = 25
29, 60 = 19
30, 94, 119, next 1st = 10
30, 62 = 15
30, 114, 118 = 21
30, 91, 193 = 22
30, 92, 198 = 22, 7th in two years
30, 136 = 26
31, 74 = 18
31, 97, 134, next 4th = 19
31, 117, 176 = 25
31, 126 = 25
31, 94 = 26
31, 95, 249 = 26
31, 127 = 28
32, 96, 234 = 21
32, 63, 173 = 22, 188
32, 96, 129 = 25
33, 108 = 29
34, 48, 103 = 21, 84, 154
34, 59 = 23
34, 98, 100 = 29
34, 100, 214 = 30, 128
34, 111 = 31
35, 98 = 29
35, 187 = 34
36, next 1st = 22
36, 87, 159 = 26
36, 105, next 5th = 30
36, 113 = 30
36, 101 = 31, 126
36, 120 = 33
37, 68 = 22
37, 71 = 23
37, 105, 178 = 28, 249
37, 67 = 30
37, 132, 142 = 30
38, 69, 125 = 29, 90
38, 105 = 33
38, 109 = 35, 140, 235
38, 146 = 36
39, 70, 142 = 27
40, 71, 103, 138 = 27, 159
40, next 2nd = 29
40, 108 = 32
40, 71 = 33
40, 108, 245 = 33
40, 216, next 3rd = 34
40, 118 = 37
40, 144 = 37
40, 158 = 38
40, 173 = 38
41, next 1st = 19
41, 73, 83 = 26, 162
41, 63 = 28
41, 75 = 36, 117
41, 113 = 37
42, 73 = 26
42, 107 = 38
42, 153 = 39
43, 109, next 1st = 19
43, 144, next 1st = 22
43, 70, 114 = 25
43, 74 = 34
44, 91 = 37, 149
44, 107 = 38
44, 121 = 41
44, 153 = 41
44, 160 = 41
44, 190 = 42
45, 79 = 31, 203
45, 108, 141 = 36
45, 119, 177, next 4th = 36, 221
45, 110 = 38
45, 116 = 39
45, 111, 227 = 40, 146
46, next 2nd = 26
46, 54, 94, 213 = 29, 112
46, 110 = 41
47, 78 = 34
47, 77 = 37
47, 93, 148 = 37, 139
47, 78, 111 = 40, 102
47, 124, 199 = 40, 164
47, 117 = 43, 152
47, 154, 232 = 43
48, 128 = 41
48, next 1st = 41, 82, 110, 138
49, 117, next 4th = 41
49, 107 = 44
49, 144 = 46
50, 112 = 39
50, 120 = 45
50, 150 = 45
50, 151 = 48
50, 173 = 48
51, 116, 195 = 43, 229
51, 117 = 43
52, 83, 102, 229 = 29
52, 125, next 2nd = 32, 132
52, 75 = 36
52, 81 = 37
52, 125, 182 = 42
52, 117 = 46
52, 145, 156 = 47, 191
52, 169 = 49
52, 195 = 50
53, 189, next 2nd = 35
53, 114 = 45
53, 152 = 49
53, 189, 211 = 49
54, 122 = 42
54, 84, next 6th = 43
54, 121 = 45
54, 78 = 46, 100
55, 86 = 38
55, 125 = 52
56, next 1st = 28
56, 87, 149 = 41
56, 87 = 44
56, 101 = 45
56, 124 = 49
56, 122 = 52
56, 87 = 52, 96
57, 89 = 41
57, 89, 201 = 41
57, 125, 248 = 48
57, 125 = 50
57, 120 = 51
57, 190, 227 = 55
58, 81 = 41
58, 89 = 47
58, 110 = 51
58, 158, next 7th = 52
58, 158 = 55
59, 73, 163 = 44
59, 74 = 44, 142
59, 101 = 48
59, 123 = 51
59, 125 = 55
60, 99 = 49
62, 127 = 53
61, 173 = 55
61, 165 = 56
61, 167 = 56
62, 93, 167, next 3rd = 37
62, 202, next 2nd = 48, 116
62, 93 = 51
62, 165, 199 = 56
62, 150 = 58
63, 89, 191 = 47, 235
63, 117 = 56
63, 171, next 4th = 56, 242
63, 171 = 57
65, 101 = 54
65, 100, 213 = 55
65, 109 = 61, 128
66, 145 = 58
66, 176 = 64
67, 103, 178 = 53, 195
67, 178 = 64
67, 195 = 65
68, 105 = 49
68, 126 = 58, 233
68, 141, 173 = 59, 161
68, 135 = 61
69, 102 = 61
69, 148 = 64
70, 81 = 53
70, 102 = 55
70, 150 = 61
71, 134, 146 = 59
71, 98 = 60, 129
71, 217 = 69
72, 104, 140 = 63, 129
72, 232 = 70
73, 138 = 60
73, 127 = 65
73, 145 = 67
74, 106 = 59
74, 101 = 61
75, 110 = 51
75, 107, 154, 205 = 57, 157, 209
75, 149, 156 = 63
75, 152, 212 = 65
76, next 1st, next 4th = 25
76, 124, 149 = 57
76, 115, 228 = 65
76, 220 = 71
77, 118 = 64
78, 112 = 61
78, 114 = 61
78, 183 = 73
79, 143, 172 = 60
79, 98, 134, 150 = 60, 99
79, 146, 217 = 62
79, 84 = 64, 132
79, 160 = 70
79, 220 = 76
80, 182 = 76
80, 193 = 76
81, 116 = 67
81, 152 = 72
82, 104 = 64
82, 115 = 70
83, 95 = 64
83, 124 = 72, 200
84, 149, 175, 190 = 53
84, 195, next 3rd = 64
84, 188 = 71
85, 116 = 70
85, 149, 182 = 75, 197
86, 119 = 69
86, 122 = 71
86, 118 = 72
86, 122 = 75
86, 119, 195 = 76
86, 156 = 77
87, 120 = 67
87, 162, next 4th = 73, 205
88, 191, 229, next 6th = 67
88, next 3rd = 74, 244
88, 143 = 80
88, 204 = 81
88, 155 = 82
89, 115, 121 = 65
89, 118 = 79
89, 217 = 87
90, 163 = 62
90, 160 = 84
90, 191 = 85
91, 173, next 4th = 79
91, 164 = 84
91, 164 = 85
92, 125 = 80
92, 159 = 88, 209
93, 129, 168 = 77, 141
93, 216 = 88
93, 217 = 92
94, 99 = 70
94, 127 = 79
94, 152 = 80
95, 112, 167, 181 = 69
96, 124 = 85
97, next 5th = 92
98, 115 = 77
99, 171 = 96
100, 139, 172 = 91, 159
100, 156 = 92
101, 141 = 83
101, 166, 203 = 86
101, 147 = 88
101, 133 = 97, 162
101, 210 = 98
102, 153 = 87
102, 144 = 93
102, 191, 193 = 93
102, 175 = 94
102, 180 = 94
103, 124, 154 = 93
103, 196, next 6th = 97
104, 109 = 82
104, 132, 245 = 86
104, 213 = 100
104, 229 = 103
105, next 2nd = 51
105, 179 = 93
106, 180 = 95
106, 182 = 102
108, 120, 227 = 82
108, 132 = 98
109, 146, 224 = 93
109, 183 = 93
109, 219 = 104
110, next 1st = 28
110, 138 = 99
110, 146 = 99
110, 183, 198 = 104
111, next 4th = 92
111, 147, 202 = 96, 219
112, 131 = 96
112, 139 = 96
112, 155 = 96
112, 137 = 97
112, 181 = 100
112, 142 = 102
112, 147 = 104
113, 125 = 98, next 7th
113, 162 = 102
113, 191 = 109
114, 154 = 100
114, 178 = 105
115, 126 = 89
115, 185 = 109
115, 208 = 110
116, next 4th = 104
116, 168 = 105
116, 165 = 107
116, 187 = 110
117, 186 = 111
117, 197 = 112
117, 206 = 113
119, 154 = 86
119, 193 = 109
119, 156 = 112
119, 192 = 112
120, 154 = 112
120, 204 = 114
120, 158 = 115, 175
120, 229 = 117
121, 135 = 107
121, 172 = 109
121, 196 = 111
121, 170, 173 = 112
121, 157 = 116, 168
122, 155 = 104
122, 159, 235 = 111
123, 163 = 107
123, 199 = 111
123, 198, 241 = 116
124, 161, 242 = 102
124, 157 = 103
124, 198 = 112
125, 129, next 6th = 101
125, 150, 225 = 104
125, 204 = 107
125, 196 = 117
126, next 1st = 42
126, 179 = 119
126, 169 = 120
127, 144, 152 = 105, 178
127, 185 = 123
128, 157 = 120
128, 218 = 124
129, 135 = 109
130, 169, 203, 244 = 105
130, 194 = 123
130, 201 = 123
131, 144 = 117
136, 141 = 111
136, next 6th = 123
136, 248, 250 = 126
137, 213, next 3rd = 91
137, 141 = 123, 198
137, 217 = 128
137, 230 = 135
139, next 2nd = 81, 151
139, 154 = 117
139, 230 = 132
141, 197 = 125
141, 186 = 129, 204
143, 161 = 121
145, 175 = 126, 252
146, 173 = 125
146, 185 = 137
146, 218 = 144
147, next 5th = 119
147, 189 = 122
147, 197 = 136
148, next 4th = 132, next 6th
149, 189 = 135
149, 213 = 136
150, 209 = 137
150, 189 = 138
152, next 5th = 120
152, 226 = 138
153, 189 = 150, 200
154, 186 = 145
155, 213 = 143
155, 231 = 144
155, 227 = 145
156, next 5th = 131, 246
156, 210 = 141
156, 226 = 149
156, next 6th = 152
157, 166, 203 = 123
158, 195 = 138
158, 229 = 145
158, 229 = 146
158, 230 = 148
158, 218 = 149
158, 221 = 150
159, 185 = 140
159, next 5th = 146
160, next 2nd = 69
160, 222 = 153
160, 238 = 153
161, 162 = 135
161, 194 = 153, 227
162, 167 = 134, 243
162, 197 = 138
162, 215 = 152
162, 239 = 159
163, 236 = 153
164, next 5th = 146
164, 201, 243 = 154, 225
164, 214 = 155
165, 199 = 137
165, 203 = 147
165, 224 = 151
166, 247 = 147
166, 184 = 164, 194
167, 175, 245 = 126
167, 225 = 157
167, 246 = 163
168, 225 = 148
168, 170 = 150
168, 180 = 157, 228
170, 180 = 139
170, 209 = 150
173, 227 = 164
174, 219 = 163
174, 231 = 163
175, 231 = 154
175, 210 = 159
175, 238 = 172
176, 233, next 3rd = 121
176, 193, 218 = 143
176, next 6th = 157
179, 218 = 165
179, 218 = 174, 231
180, next 3rd = 103
180, 222 = 140
180, 216 = 149
180, 204 = 167, 225
181, 188 = 160, 224
182, 206 = 156
182, 220 = 168
183, 217 = 160
184, 198 = 160
184, 207 = 174
184, 233 = 176
185, 244 = 166
186, next 3rd, next 4th = 86
186, 219 = 174
186, 228 = 178
187, next 6th = 167
187, 191 = 170
188, 226 = 179
194, 198, 203 = 149
195, 246 = 175
195, 233 = 182
196, 204, 250 = 147
196, 200, 233 = 173, 227
196, 227 = 186
196, 240 = 188
196, 229 = 189
197, 224, 235 = 163
199, 203, 215 = 137
200, 234 = 195
201, 220 = 199, 230
205, 223 = 182
205, 231 = 197, 256
207, 241 = 200
208, 210, 248 = 169, 219
211, next 3rd = 91
212, 213 = 182
212, 237 = 187
213, 236 = 197
215, next 4th = 138
216, next 6th = 202
216, 239 = 211
217, 227 = 207
219, next 2nd = 92, 125
219, next 4th = 138, 223
221, next 5th = 149
221, 253 = 207
221, 231 = 208
222, next 5th = 164
223, 232, 254 = 209, 225
225, next 4th = 147, 243
225, next 5th = 201, 219
226, 247 = 181
229, 231 = 208
229, next 2nd = 67
230, next 5th = 175
232, next 2nd = 73
233, 243 = 198
235, next 5th = 174
237, next 5th = 168
237, next 7th = 223
244, 256 = 194
250, next 7th = 233
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