Because I like this idea so much... I've gone through all the levels to compile a full list.
I didn't actually test every level (many stand out as being obviously possible or definitely impossible), so it's possible that I might not have accounted for time limits, percentage requirements in "clone" levels, and such. Here's my list:
FUN - 1 to 13, 17, 18, 21, 24, 25, 27, 30.
TRICKY - 1, 2, 15, 16, 17, 18, 19, 20, 22, 23, 26, 28.
TAXING - 6, 9, 18, 19, 22, 24, 30.
MAYHEM - 3, 4, 11, 14, 16, 20, 24, 26, 27.
TAME - all except 13.
CRAZY - 1, 2, 3, 7, 11, 13, 15, 18, 19.
WILD - 1, 5, 6, 8, 9, 20. (9 appears to be possible only by the nuke glitch)
WICKED - 1, 5, 6, 8, 12, 14, 16, 17, 20.
HAVOC - 4, 6, 10, 15, 20.
XMAS92 - 1, 2.
FLURRY - 2, 3, 4, 5, 6, 7, 9, 11, 12, 14, 15. (6 would likely be impossible if the steel actually stopped you bashing through it)
BLITZ - 3, 4, 6, 7, 12, 14, 16.
FROST - 3, 4, 5, 6, 8, 9, 11, 13, 15, 16.
HAIL - 1, 2, 4, 6, 12, 15.
COVOX - 1, 8.
PRIMA - 1, 2, 3, 4, 6, 7, 8, 10, 13, 15.