I only count 4 instances where this is currently possible or was possible for a reasonable amount of time. This ignores early NHL playoff alignment, so you may be able to sneak another one in, but most of the early NHL was on the east coast so probably not too many outliers based on that.
LA has Lakers/Clippers/Dodgers/Rams/Kings all cross-league/conference
St. Louis has/had Cardinals/Blues/Rams/Cardinals/Hawks
The Bay Area has Warriors/49ers/Sharks/Giants (1 of 4 newer teams)
Phoenix has Suns/Cardinals/Diamondbacks/Coyotes (3 of 4 newer teams)
That's about it though. We've hit LA an St. Louis plenty and Phoenix is too new. The Bay Area is the big outlier, IMO.
LA has Lakers/Clippers/Dodgers/Rams/Kings all cross-league/conference
St. Louis has/had Cardinals/Blues/Rams/Cardinals/Hawks
The Bay Area has Warriors/49ers/Sharks/Giants (1 of 4 newer teams)
Phoenix has Suns/Cardinals/Diamondbacks/Coyotes (3 of 4 newer teams)
That's about it though. We've hit LA an St. Louis plenty and Phoenix is too new. The Bay Area is the big outlier, IMO.