hmmm.. never played the bubble bobble sequals tho
I suggest you download Mame then.
http://mamedev.org/It's exceptionally easy to use. No need to install anything because it runs from a small exe. Also because it only uses your processor, it doesn't matter about gpx cards etc so there's never any compatibility problems.
It's free. Just download mame and you can find *ahem* the roms (games) you need in the normal legal way.
Drop the game in the roms folder and you're ready to go.
You can even get a version of Mame with a net play client built in. I was playing co-op Golden Axe with some American bloke the other day.
Nothing stopping us organising some games of bubble bobble