Priorities:
Lauterbrunnen Valley - Murren, Gimmelwald - many incredible trains, gondolas, and hikes (3 days)
Luzern + Mt. Pilatus (1-2 days)
Zermatt - Appenzell (3 days, connect via the Glacier Express train)
Lake Geneva area - Lausanne, Chateau de Chillon, Gruyeres (1 day)
Bern (1 day)