Very, very often I'll pitch a copper or something in order to gain a late game duchy with Remake.
Remake is also pretty good with strong on-trash benefits - Cultist becomes a Gold & draws 4 cards, Squire makes for a Silver and maybe a Goons, and Catacombs gives me a 4 and a gold, and Market Square still gives golds (which can be really fun with Rats, Oge, or Cultist - discard the Mrksqr on the first trash, draw the Mrksqr back if you have little/no discard, and then discard it on the second shot).
Remake is also very nice with Vineyards or Fairgrounds - late game being able to pull off a 2/3 action hand (e.g. remake two Silvers into Remakes and buy a Haven) is pretty big in with Vineyard mirrors, likewise swapping say a spare silver & gold into two unique cards and buying a 3rd is a pretty big boost if you are hitting Fairgrounds. Both bring up another thing I like about Remake - you can gain a lot of cards quickly and do things like pile out with no +buy with 3 four coin cards left in the third pile - this works really well with City decks.
A final fun shot is using limited draw (e.g. Minion, Menage, Lib) and villages to quickly boost hand value and clear out draw clogging cards. Somewhat related, Remake can be a really quick accelerator for a Tac deck - gain value without spending money ... even if the only +coin is at 5 or 6 it doesn't take too long to get up there and then to thin down the double-Tac deck.