Does somebody know if there's a version of BubbleGum with accents and even Euro chars?

Original link: http://www.dafont.com/pt/bubblegum.font

I'm afraid there is not. No surprise as the font is from 1995 and made by an American and, in general, Americans did not think about accents very much those years.

You have three ways out.
1. Go for another font suffering from obesity that does have accented letters.
2. Contact Thomas W Ziller at Big Typephoon, 324 West 18th, Grand Island, Nebraska 68801, United States of America, phone: (308)-382-0671 and ask him to add the accented letters. Which is an almost automatic action, just a few mouse clicks.
3. Add the accented letters yourself (or ask a friend to do it for you). All you need (or your friend needs) is a font editor with a compose composites script. Again not difficult as the grave is already there, so you have the acute and circumflex and with these the dieresis and tilde are easy to make. Or borrow the accents from another fatty.