[v] be a mystery or bewildering to; "This beats me!"; "Got me--I don't know the answer!"; "a vexing problem"
[v] affect with wonder; "Your ability to speak six languages amazes me!"
astonish, astound, baffle, beat, bewilder, dumbfound, flummox, get, gravel, mystify, nonplus, perplex, pose, puzzle, stupefy, vex