Been to Rimini but wouldn't necessarily call it high class. There is a Le Meridien in an excellent location. There are some bars (and cafes that you can eat or drink in), there are 2 english bars that I can think of, then a big Irish bar on the front called The Barge (do a search, they have a website). We often had a meal, then went to The Barge. A beer and a Prosecco was about 8 or 9 euros, they serve you at the table.

There's an old town with 'normal' - non touristy shops. Also you can visit San Marino from there. We've been twice, and would return. Beach also very clean.