Bust-A-Move 2 is the console name for the famous arcade game Puzzle Bobble 2. Thus: the “Arcade Edition” subtitle. I’ve no idea why they changed it – it just makes things confusing.
Puzzle Bobble 2 is a brilliant game though. It was initially released into arcades by Taito in 1995 and this arcade conversion came a year later via Acclaim in 1996.