Bands renamed for international audiences?

Jigsaw -> British Jigsaw (in Australia)
The Charlatans -> Charlatans UK (in the US)
The Shapeshifters -> Shape:UK (In the US)

Suede -> Suede London (US), did that actually happen?

The Raconteurs (also known as The Saboteurs in Australia)

!!

Puffy Yumiami

Suede -> Suede London (US), did that actually happen?

Yes - although they were called The London Suede after being sued by an American singer who called herself Suede.

http://www.mtv.com/shared/media/images/amg_covers/200/drd800/d857/d85773ev92y.jpg

Bush had to call themselves Bush-X in Canada; some Canadians I've met have convinced themselves this was their original name and that copies of Sixteen Stone with the Bush-X label are rare original releases.

Chas and Dave had to record as Charles and David in the States because there was already a folk duo of that name.

Wrathchild was forced to become Wrathchild America due to an overseas lawsuit, which killed the band's momentum as it delayed their first album.

Now they're known (well, used to be, don't know if they still exist) as Souls at Zero.

no one's mentioned Chameleons UK?

Squeeze were renamed UK Squeeze for the US, Canada and Australia to avoid legal issues with existing bands using the "Squeeze" name in those territories.

The jazz label Yazoo were named after forced them to shorten their name into Yaz in the US.

Luna² - I guess this really doesn't count b/c they were a US band and had to be (temporarily) renamed because of someone else stateside using the same moniker. I just wanted an excuse to type Luna²

and then there's The Comsat Angels, who became C.S. Angels, and the Jean Paul Sartre Experience who became JPS Experience.

The English Beat

Also, David Bowie's real name is Davy Jones UK.

Cher UK

Dfa label and dfa1979 band

(The second was canadian)

The New Originals

!!

― HOOS clique iphones fool get ya steen on (BIG HOOS aka the steendriver),

What country did they have to drop one ! for?

The Angels -> Angel City (in the US)

Mike Patton's Peeping Tom refused to change their name for Australia - Patton said they'd ask the Melbourne punk band to support them there for teh lolz, but then didn't.

Blink 182 had to append the numerals to the name because of some UK band or something.

Urusei Yatsura had to go by just Yatsura outside of the UK, because of the popular Japanese cartoon that they're named after.

The Spinners were called the Detroit Spinners in the UK because of a pop-folk band (best known for 'In my liverpool home' - or the one that has the line about "We speak with an accent exceedingly rare, Meet under a statue exceedingly bare". Unlike a lot of other suggestions, both bands were pretty well known (in the UK) and the name change made sense to differentiate the bands.

Diddy still P. Diddy in the UK.

UK Subs called UK UK Subs outside of the UK. Similarly, the UK Subs tribute band U&K Subs are called UK U&K Subs...

The Finnish rock band HIM was initially called HER in the US, because there was already an US dub band called HIM. I think they got the right to use name later on, and now they're HIM in the US too. (Americans can correct me if I'm wrong.)

Caesars Palace had to be called Twelve Caesars outside of Sweden, at least until they changed their name to just Caesars.

The Kiwi band Shihad were persuaded to change their name to Pacifier when they moved to the States, because Shihad was too close to 'Jihad' for comfort. I believe they've since changed back.

Turbonegro was, for a long time, known as Turboneger in Norway. Which means the same btw.