Other places

Bern: Not because it's Switzerland's capital city, but because it's a town with all the warmth and ambiance only old towns can spend. From Zuerich in modern Railway cars you can be there in about 70 minutes.

Tierpark Goldau: In this nature park you are fenced in with the animals (deer, goats, donkeys). You may touch and feed them. There are also some fenced in animals like bears, birds, pigs. Always in spring there are bear puppies which are introduced to the visitors. A visit is probably a great day for your kids. The park is in walking distance to the railway station Goldau.
The rocky environment was created when part of nearby mountain "Rossberg" tumbled down, burying hundreds of people. On last Christmas a severe storm knocked down most of the forest in the park.

Sattel Hochstuckli: In winter it's a Ski region while in the summer it's an excellent region for hiking. The specialty after winter season is the Rollerpark, with infrastructure for roller-skates. There is a chairlift from Sattel to Hochstuckli. Public transport by Bus (Zug-Oberaegeri-Sattel) or by train (SBB, Zug-Goldau, then SOB Goldau-Sattel).

Brig Zermatt: Brig, flanked by big mountains is an old town and the starting point for the railroad to Zermatt. A very rewarding hiking trip is "Loetschberg Hoehenweg" from Hohtenn back to Brig. On the walking track there are ancient water channels.
Why not go on a roundtrip Zug-Goeschenen (Gotthard line) Goeschenen-Andermatt-Brig (Furka Oberalp Bahn [part of "Glacier express" route]) Brig-Thun-Bern (Loetschberg Bahn) Bern-Zuerich-Zug. If you have a special ticket check whether it's accepted on Furka Bahn (FOB) as well.