Stevie Ray Vaughan and Double Trouble. Double Trouble started out as drummer Chris Layton and bassist Tommy Shannon. They later added a keyboard player as a third member.
Ben Folds Five, as far as I know, only ever had three members.
Triumvirat, a German prog-rock band sometimes known as the German ELP, had three members until their bassist/vocalist left the band. They added both a bassist and a vocalist as replacements, bringing the count to four.
One of my favorite album covers is the Chad Mitchell Trio, with four members walking across a college campus. Now, the fourth is Jim McGuinn* who played banjo with them, but it’s still jarring.
*later changed his name when he was given the “spirit name” of Roger, when he was dabbling with Eastern Mysticism while with the Byrds.
I think it was George Thorogood and the Delaware Destroyers, but I remember seeing a photo of a band onstage with a sign “The world’s only five man trio”. There were four band members.
I believe the X-Factor band Fifth Harmony had a member quit… so now there’s only 4 of them. The Four Horsemen had 5 original members, unfortunately 2 of them are dead so there’s only 3 members left.
Brasil '65, Brasil '66, Brasil '77, Brasil '86, etc. (all named for years, of course).
Johnny Cash’s backing band The Tennessee Two changed its name to The Tennessee Three when a drummer was added. I don’t know if there was ever a time when the name didn’t fit the number of musicians.
Some bands, on the other hand, strive for consistency. The four letters in Wire represent the members of the band. When one guy left the band, the remaining three performed as Wir until they replaced him with a new member.