I'm on the eShop right now and I'm having a hard time finding every game available. There are a bunch of channels like "Adventure" and "1-player games", but I cannot find a way see a list of everything available, on the same screen. The releases seem compartmentalized and the whole thing is very clunky. Is there some function that I am missing?

You can't get it all on one screen. You can use the search though to give you everything, paginated, or add other filters like publisher and platform.

This sucks. I know the eShop has been around for less than a month, but it's not as if Digital Stores were a new thing. I hope they clean up this mess.