Sometimes wrestlers use a theme song that's only used a few times or even one single time.
Randy Orton - He used This Fire Burns one time on SmackDown in 2006. This song later became known as CM Punk's theme song, but Orton used it before he did and only for a week. I don't know why, though?
Triple H - We all know of My Time, The Game by Motorhead and King of Kings by Motorhead as well... but Drowning Pool also made their own version of The Game for Triple H one time and played that song as HHH's entrance at WM X8. Since then the song has only been used in a promo hyping up the Pedigree in the middle of the HHH vs. Batista feud. Still a bit weird to this day that Drowning Pool made their own version of The Game.
Jericho - Saliva once made a song for him. King of My World. A pretty cool song. Afaik it was only used at the SummerSlam 2003 Elimination Chamber?
Surely there's more, but these are the first examples I could think of.
Commissioner Foley - claps removed and harder drums. They’ve never released that version sadly. There’s a recreated version on YouTube but I think some band have done that nothing to do with WWE
They also never released Too Cool’s theme ‘you look fly today’ only the poorer turn it up one
DLo and Chaz as a tag team had a slightly remixed theme of D-Lo’s theme but I could never find that
HHH had an instrumental similar my time but altered at Armageddon 2000 and that’s never been released - there’s a very similar version available think it’s called higher power or something but not the one he used there.
This is the remix of "Big" by Mack 10, K Mac, Boo Kapone and MC Eiht. Big Show used this song briefly in 2000. Awesome hip-hop remix of the song. I wished he used it longer to make himself look like a total boss.
This is The Godfather's "Pimpin Ain't Easy" remix by Ice-T. I've always preferred his original theme than the remix.
Stone Cold had a lot of different themes in 2001 during his heel run. Here's a couple: