This happens to many promotions who join the NWA (or similar groups) (SWA to NWA SWA National Wrestling Alliance Scottish Wrestling Alliance?) but some promotions that were NWA members from the start still don't avoid it. Championship Wrestling From Hollywood had the excuse of Grand Father Clause, being based on CWF Florida, which was one of those after the fact cases. Most, such as NWA Pro Wrestling, NWA WCW or NWA ECW, have none.
There was an episode of Raw that aired in 1997 called "Thursday Raw Thursday".
"Uso", is the equivalent of "bro" or "sis" to two siblings of the same gender. Thus Rikishi's twin sons going by the "Uso Brothers" name in FCW is this. Upon calling them up to the main roster, WWE suddenly averted this trope by calling them simply "The Usos".
And then there's the infamous Promo of Michael McGillicutty at the end of WWE NXT Season 2
McGillicutty: And starting this moment... from now... from this moment on... this will be the moment... starting now... of the Genesis... of McGillicutty.
Intentionally invoked in TNA, with Christopher Daniels and Kazarian declaring themselves (and demanding they be announced as) "the World Tag Team Champions of the World".