Thought I'd share for fun...
The attached shows actual breeds which currently do not have full registration with AKC. I believe the way it works is if you own one of these breeds - they are only allowed to show in Misc classes (if they've gotten that far) or they are limited to companion events (obedience and agility).
These are not "new" breeds that have recently been created in the past 20-50 years. Some of these are ancient breeds that go back hundreds of years. It takes a bit of work getting into AKC - and this includes having active clubs in the US with many active members and a good sized population of purebred dogs in the AKC.
Basically my point is with many mixed breeds out there who have a big following from pet people there isn't a shortcut route to them suddenly becoming show dogs - despite what people think. And when you hear about AKC introducing new breeds every year or whatever - these are not mixed breeds with a short breeding history (less than 100 years) behind them.
Hovawarts have been mentioned here on this forum before. They are not an AKC breed. You can't go to a dog show and see them there. Major reason why is they are very rare here in the US.
French spaniels and Tatras are breeds I'm familiar with (I used to pour over breed books when I was a kid and these were breeds I always said I would get some day LOL). Neither of these breeds are in the AKC.
Cuvacs were brought up by a member here - and I'm not 100% sure if they are the same thing as Tatras or not? Cuvacs are supposedly closely related to Kuvaszs, but I know Tatras are not.