In terms of strictly WWE-approved titles that were exclusively released on either the Nintendo 64 or the GameCube, there are several examples. This is a period that constituted the famous (or perhaps infamous) “Attitude Era” of sports entertainment. That’s especially true for WWE games that were developed between approximately 19.
I find it odd because I’ve never really considered the extent to which WWE’s product would appeal to a more “family-friendly” audience that Nintendo typically tries to court with first-party titles. I’m fascinated by the number of wrestling games from the late 1990s to the mid-2000s that were exclusive to Nintendo consoles.