Very close, Arseen, but not 100% accurate. I'm actually the one who initially wrote the Wikipedia article on the Japanese vs US/ Europe versions of this series back in 2005. It's complicated. Until around the time of when Magic Wands was released, Capcom had the exclusive rights to publish Disney games in the USA. This is also the reason Mickey Mousecapade (a Hudson game) was published by Capcom in the US. The original developer either had to let Capcom publish their game, or replace the Disney characters. The series actually started in Feb '89 in Japan as Roger Rabbit on the Famicom Disk System. Mickey's Dangerous Chase was not part of the same series, but like Mickey Mousecapade, was published by Capcom in the US (a Kemco game). Here's the rest, all on Game Boy (or Color/ Advance) unless specified.
JPN Roger Rabbit (FDS) = US The Bugs Bunny Crazy Castle (NES) (no EU release)
JPN Mickey Mouse 1 = US/EU The Bugs Bunny Crazy Castle
JPN Mickey Mouse 2 = US The Bugs Bunny Crazy Castle 2 = EU Mickey Mouse 1 (1992) / Hugo (1995)
At this point, the crazy castle and Mickey Mouse series were separated into their own groups, and the CC series used the same characters worldwide. Since Japan at this point hadn't had any Bugs Bunny Crazy Castle games (using those names/ characters), they released The Bugs Bunny Crazy Castle 1 and 2 on one cartridge, as Bugs Bunny Collection, exclusively in Japan, with added Super Game Boy features. Then they ported the Japan only GB game, Soreyuke!! Kid (part of the Kid Klown series, eventually) to GBC as The Bugs Bunny Crazy Castle 3, worldwide.
Crazy Castle series (continued):
Bugs Bunny Collection (Japan only)
Bugs Bunny Crazy Castle 3 (worldwide)
Bugs Bunny Crazy Castle 4 (wordwide)
Woody Woodpecker Crazy Castle 5 (worldwide)
Mickey Mouse series (continued):
JPN Mickey Mouse III: Dream Balloon (FC) = US Kid Klown in Knight Mayor World (NES) (There is actually a US prototype MM version!)
JPN Mickey Mouse IV: Mahou no Labyrinth = EU Garfield Labyrinth = US The Real Ghostbusters
JPN Mickey Mouse V: Mahou no Stick = EU Mickey Mouse V: Zauberstaebe! = US Mickey Mouse: Magic Wands!