(for the record, if you haven't listened to EYKIW, i've been told that it sounds most like Apollo 18 (i hope i'm writing that album's name right) so do with that what you will
im not bluef00t, sorry, but i am another big tmbg fan. you should check out flood first, or the pink album, which is their self titled debut. if you enjoy it id say just go chronologically. also, weird als style parody sounds a lot more like their first two albums in my opinon.
John Henry (1996) is when they transitioned from just two guys and a drum machine to a full band. That's probably their second biggest "original hit" album after Flood. If you're interested in what they're up to more recently, I really like I Like Fun (2018) or Nanobots (2013). If you like the original duo sound more, there's Lincoln (1988) and Apollo 18 (1992), which are Definitely what Weird Al was riffing on.
(Jackie's advice is pretty solid too, but I'm assuming you want a kind of sampler here. TMBW awaits if you want to dig deeper!) https://tmbw.net/wiki/Discography
its to the point where just hearing a song from my little pony has me FIGHTING to stay masked
weird al (another one rides the bus EP, self-titled, in 3-d, dare to be stupid, polka party, even worse, uhf, off the deep end, alapalooza, bad hair day, running with scissors, poodle hat, straight outta lynwood, internet leaks EP, alpocalypse, mandatory fun)
and lemon demon (clown circus, live from the haunted candle shop, hip to the java bean, damn skippy, dinosaurchestra, view-monster, live only not EP (had to look this one up), i am become christmas EP, nature tapes EP, spirit phone)