Actually I used the IMDB power search and narrowed it down quite a bit using "thriller" as a key word. and eliminating all TV movies and in English. Sorry I couldn't get it to link.
PowerSearch Results
Here are the 57 matching titles:
1. Amateur, The (1981) 5.3/10 (279 votes)
2. American Werewolf in London, An (1981) 7.4/10 (12021 votes)
...aka American Werewolf (1981)
...aka American Werewolf, The (1981) (Philippines: English title)
3. Blind Life, Blind Death (1981)
4. Blow Out (1981) 7.0/10 (5336 votes)
5. Body Heat (1981) 7.2/10 (6857 votes)
6. Cutter's Way (1981) 6.8/10 (809 votes)
...aka Cutter and Bone (1981)
7. Dangerous Summer, A (1981) 3.2/10 (46 votes)
...aka Burning Man (1981)
...aka Flash Fire (1981) (USA: video title)
8. Deadline (1981) 5.7/10 (38 votes)
9. Diva (1981) 7.1/10 (3608 votes)
10. Double Deal (1981) 5.5/10 (15 votes)
11. Escape from New York (1981) 6.8/10 (14568 votes)
...aka John Carpenter's Escape from New York (1981) (USA: complete title)
12. Evil Dead, The (1981) 7.4/10 (21599 votes)
...aka Book of the Dead (1981) (USA: première title)
...aka Evil Dead, the Ultimate Experience in Grueling Horror, The (1981) (USA: closing credits title)
...aka Sam Raimi's The Evil Dead (1981) (USA: complete title)
13. Eye for an Eye, An (1981) 4.8/10 (481 votes)
14. Eye of the Needle (1981) 7.1/10 (1976 votes)
15. Eyewitness (1981) 6.0/10 (954 votes)
...aka Janitor, The (1981)
16. Fan, The (1981) 5.2/10 (441 votes)
17. Fatal Encounter (1981)
18. Final Conflict, The (1981) 5.2/10 (2945 votes)
...aka Omen III: The Final Conflict (1981)
19. Final Exam (1981) 3.2/10 (177 votes)
20. Firecracker (1981) 5.5/10 (45 votes)
...aka Naked Fist (1981)
21. For Your Eyes Only (1981) 6.8/10 (11663 votes)
22. Friday the 13th Part 2 (1981) 5.1/10 (5943 votes)
23. Ghostkeeper (1981) 4.4/10 (47 votes)
...aka Ghost Keeper (1981) (USA: video box title)
24. Graduation Day (1981) 2.5/10 (399 votes)
25. Halloween II (1981) 6.1/10 (7911 votes)
...aka Halloween II: The Nightmare Isn't Over! (1981) (USA: video box title)
26. Hell Night (1981) 4.9/10 (737 votes)
27. Home Sweet Home (1981) 3.1/10 (62 votes)
...aka Slasher in the House (1981)
28. Howling, The (1981) 6.4/10 (3965 votes)
29. Incubus, The (1981) 4.2/10 (301 votes)
30. Just Before Dawn (1981) 5.9/10 (379 votes)
31. Killing of Angel Street, The (1981) 5.9/10 (16 votes)
32. Lady Stay Dead (1981) 4.1/10 (12 votes)
33. Looker (1981) 5.8/10 (910 votes)
34. Miss Morison's Ghosts (1981) 7.5/10 (30 votes)
35. My Bloody Valentine (1981) 5.0/10 (984 votes)
36. Outland (1981) 6.3/10 (4835 votes)
37. Postman Always Rings Twice, The (1981) 6.3/10 (3433 votes)
...aka Wenn der Postmann zweimal klingelt (1981) (West Germany)
38. Raiders of the Lost Ark (1981) 8.7/10 (127840 votes)
...aka Indiana Jones and the Raiders of the Lost Ark (1981) (USA: video title)
39. Reborn (1981) 4.3/10 (46 votes)
...aka Renacer (1981) (Spain)
40. Rise and Fall of Idi Amin (1981) 5.2/10 (78 votes)
...aka Amin: The Rise and Fall (1982) (USA)
41. Roadgames (1981) 6.4/10 (454 votes)
...aka Road Games (1981) (USA)
42. Ruckus (1981) 5.5/10 (144 votes)
...aka Big Ruckus in a Small Town (1982) (USA: video title)
...aka Loner, The (1981)
...aka Ruckus in Madoc Country (1981)
43. Salamander, The (1981) 4.9/10 (104 votes)
...aka Salamandra, La (1981) (Italy)
44. Savage Harvest (1981) 5.1/10 (79 votes)
45. Scanners (1981) 6.5/10 (5390 votes)
...aka Telepathy 2000 (1981)
46. Scream (1981) 2.4/10 (131 votes)
...aka Outing, The (1981)
47. Sharky's Machine (1981) 5.9/10 (1103 votes)
48. Southern Comfort (1981) 7.0/10 (2546 votes)
49. Sphinx (1981) 4.4/10 (304 votes)
50. Strange Behavior (1981) 5.4/10 (126 votes)
...aka Dead Kids (1981) (USA: video title)
...aka Human Experiments (1992) (UK: reissue title)
...aka Small Town Massacre (1981)
51. Subway Riders (1981) 5.2/10 (20 votes)
52. Tattoo (1981) 4.7/10 (197 votes)
53. Thief (1981) 7.2/10 (2429 votes)
54. Tiffany Minx, The (1981) 7.4/10 (7 votes)
55. Unseen, The (1981) 3.3/10 (114 votes)
56. Venom (1981) 5.0/10 (331 votes)
57. Wolfen (1981) 6.2/10 (1799 votes)