We've been to Grampi's a few times and have consistently been disappointed. It's a tourist trap. Don't go there.
Nelly's is a new place that we found. It's got satays and steaks and a frightening selection of whiskies... It's also got a tank full of piranhas.
Nordwand is an English-style bar, if you fancy a pint at some stage.
Zermatt is also a great place for that annual fondue fix. There's lots of options for this. Just follow your nose, literally...