Vicenza

Basilica di Monte Bèrico
south of the city, is a well-known Catholic church up on a hill. The Virgin Mary reportedly appeared twice there in 1426. Today many pilgrims travel to see it, and even normal residents of Vicenza visit regularly.
La Rotonda
also just outside the city, is a famous villa by Palladio. Its most notable feature is that the exterior looks the same and very impressive from all four sides. It's still used as a residence today, so visiting hours are limited - check before you go if you want to do more than look up from the roadside.

Bassano del Grappa

Marostica

Recoaro

Asiago