Rocotos come to mind. The heat is very different from other species with a super long duration. The flavor is unique in that there is more astringency than other species. And the seeds are black or dark colored.
Mutants are looking weird/cool enough to get on your list I guess. Any of the dark crosses (with PDN genes), blotchy/striped colors ripe pods (a lot from Pink Tiger contribution), contorted shape, gnarly skin and long tails would get my attention too.
Personally I enjoy:
Thunder Mountain Longhorn - they can get incredibly long and have a good heat for a garnish.
Vezena Paprika - Known for having very high corking effect and thick walls.
Currently we are working on growing some KSLS, and BBG7s.
While neither have interesting names or are of a new verities or cross they both are different.
Cumari is one of my absolute favorites, decent heat and such a nice fruity flavor. Goes really well in sweet foods; add a small handful to a bowl of fruit loops, vanilla ice cream, etc. or bake into cookies.