Gornegratt is the mountain railway for great views over Zermatt, the Matterhorn and the many glaciers.
The Sunnegga underground funicular takes you up to some wonderful alpine walks and mountain lakes you can swim in. Here there are two further gondolas that take you to Blauherd and Rothorn. The Rothorn cable-car is one of the biggest I've ever been in - its more like a bus and has seats!
The Kleine Matterhorn - for a stunning alpine panorama, there's more to Zermatt than the Matterhorn - is a 4 stage cable-car. Furi - Furg - Schwarzsee (lovely views here) - Trockner Steg - Kleine Matterhorn. Allow an hour to get right to the top but the views are well worth it.
A pass - the Zermatt Peak Pass - is available over 3-9 days for the mountain transport and if you don't have a half fare card then its worth getting one.

