The only others were the perennial "Yes, We Have No Bananas" and the Hoosier Hot Shots' version of "I Like Bananas Because They Have No Bones". Should have thought of "The Banana Boat Song", as I love it and Stan Freeberg's comedy cover of it. By "The Banana Split Song" do you mean the theme to the TV show? That's more of a metabanana song, since it's about the band, not bananas per se. (Well, it does mention bananas, but it's more like a metaphor for the band members.)
I have an "album" by the Banana Splits: two standard size 45s with two songs per side. I got it with corn flake boxtops. One of my favorite numbers on that was the psychedelic "I Enjoy Being a Boy (In Love With You)", later covered by They Might Be Giants.
Great. Now that one will be stuck in my head.