kamen_rider_v3 --> kamen_rider
kamen_rider_x_(series) --> kamen_rider
kamen_rider_amazon (series) --> kamen_rider
kamen_rider_stronger_(series) --> kamen_rider
new_kamen_rider --> kamen_rider
kamen_rider_super-1_(series) --> kamen_rider
kamen_rider_black_(series) --> kamen_rider
kamen_rider_black_rx_(series) --> kamen_rider
shin_kamen_rider_prologue --> kamen_rider
kamen_rider_kuuga_(series) --> kamen_rider
kamen_rider_agito_(series) --> kamen_rider
kamen_rider_ryuki_(series) --> kamen_rider
kamen_rider_555 --> kamen_rider
kamen_rider_blade_(series) --> kamen_rider
kamen_rider_hibiki_(series) --> kamen_rider
kamen_rider_kabuto_(series) --> kamen_rider
kamen_rider_den-o_(series) --> kamen_rider
kamen_rider_kiva_(series) --> kamen_rider
kamen_rider_dcd --> kamen_rider
kamen_rider_w --> kamen_rider
kamen_rider_ooo_(series) --> kamen_rider
kamen_rider_fourze_(series) --> kamen_rider
kamen_rider_wizard_(series) --> kamen_rider
kamen_rider_gaim_(series) --> kamen_rider

kamen_rider_the_first --> kamen_rider
kamen_rider_the_next --> kamen_rider

All part of the same franchise. I'd throw in Super_Sentai as well but I'm not versed in sentai at all.

Pretty much everything in kamen rider needs to be shuffled around before implications. Almost none of it conforms to the standards. All the kamen riders should be qualified with _(character) and the series should all be kamen_rider_x not kamen_rider_x_(series). Lastly, kamen_rider should probably be kamen_rider_(series) to indicate it's the tag that covers everything kamen rider.

Ah. Didn't realize the mess of tags we got. While we're at it, kamen_rider itself should refer to the first in the series (the one with Ichigou and Nigou).

Just throwing this out there - what about kamen rider (franchise) for the series of series? That keeps things symmetrical, so you won't have anyone thinking "Oh, kamen rider (series) doesn't belong on this picture, since everyone here is from Kamen Rider Amazon, not the original Kamen Rider!"

Bumping for the shuffle thing Log mentioned.