We know at the end of Babylon 5 humanity has achieved First One like status, but what about the other races? I think I heard somewhere that the Minbari also achieved First One like status while all the other races are still around but just stagnated.
Humans became like the First Ones as shown in "The Deconstruction of Falling Stars". As JMS answers, quoted in the JMS Speaks section of the Lurker's Guide page for "The Deconstruction of Falling Stars":
[Q:] What about the other races?
[JMS:] The Minbari eventually make it; the Narn and Centauri do not. They don't die out, they just don't hit a state of First One-ishness, which is darn close to immortality (barring violence).
No other comments on any of the other races we've seen.