We're in a bit of a lull right now, for Off-Broadway (of course there are still things playing, but not a ton).
If you like a kind of zany, absurd style, I hight recommend Regretfully So The Birds Are at Playwrights Horizons. I had a ton of fun with it - it's a wild ride.
And you'll be there for the final week of The Strange Undoing of Prudencia Hart, at the McKitrick - a fun play with music, staged immersively, with some light spooky elements.
Titanique is also a fun time, if it seems like it's up your alley.
Other than that, not much that I've personally seen that I'd recommend. White Girl in Danger will still be playing, though personally I'm not inclined to recommend it. A lot of things start performances soon, like:
Fuente Ovejena starts at TFANA on 4/28
The Fears, starts 4/25
Terence Blanchard's new opera, Champion, just started (? or will soon) at the Met
Fiasco has a co-production with Red Bull Theatre, Knights of the Burning Pestle, which starts next week.
There's also Shadow/land, which starts at the Public next week.