Chuck Berry Is On Top (1959). Also technically a comp, no repeats from the preceding two LPs.
Buddy Holly (1958). Almost feels like a real album. His debut had too much doo-wop pastiches, but this one has few non-classic Buddy tunes, and even some of the non-classics are enjoyable (especially "You're So Square, Baby I Don't Care", which fits Buddy's hiccupy delivery better than Elvis' cooler delivery).
I would probably have the two Little Richard LPs in my top 25 as well.
And what's with the lack of male crooners? Frank Sinatra's Song for Young Lovers, In the Wee Small Hours, and This Is Sinatra, Vol. 1 should be here, as should Bobby Darin's That's All.