That movie was such a foundational document for me, and (obviously) for many other nerdy GenX kids.
I found this site years (decades!) ago, and was happy to discover it's still there:
https://monkeybagel.com/culture/movies.html
The blurb there for _Real Genius_:
"The most accurate portrayal of geeks in the wild I've ever seen. The geeks in Real Genius LOOK, ACT and TALK like geeks. And Jordan gave me hope that I'd someday -- just maybe -- kiss a girl on the lips."
I remember a discussion of this film on a long-running private listserv back in the late 90s or early 00s about possible real-world antecedents for some of the characters, including and especially Jordan. A proto-web site existed for this person where she elaborated on her connection to the writers of the film, and more or less confirmed that she was "Jordan", or at least the inspo for it, but of course I can find no trace of this now.
Anyway, between TOP SECRET, REAL GENIUS, WILLOW, TOMBSTONE, HEAT, and TOP GUN, he's about as inconic as an actor can get. For a dose of maybe less blockbustery work, seek out 2002's THE SALTON SEA where Kilmer is joined by Adam Goldberg, Luis Guzman, Anthony LaPaglia, Peter Sarsgaarad, BD Wong, R. Lee Ermey (!) and in a spectacular turn Vincent D'Onofrio.