The Matrix was number 66 in the American Film Institute’s Top 100 Thrillers of the last 100 Years. They list these two scenes as thrilling moments:
-Neo (Reeves) learns judo from Morpheus (Fishburne).
-Neo dodges bullets.
Check out the AFI Website for the rest of the list by clicking the Source Link below.
Source: AFI’s 100 Years, 100 Thrills