Being a fan of Palladio's architecture I spent several days visiting the listed sites. One day was spent in Vicenza alone visiting the plethora of his buildings along Corso Palladi and its side streets and adjacent piazzas in the Historic Centre. The Palazzo Chiericati, the Loggia del Capitaniato, the Palazzo Porto Braganza and the Palazzo Valmarana Braga epitomised for me the essence of his designs.

Further away from the Historic Centre I liked :

the Loggia Valmarana, overlooking the Giardini Salvi

Villa Capra (La Rotunda) reached by bus #8 from Vicenza via the Arco delle Scarletta

Villa Gazzotti Grimani at Bertesina reached by bus #1 from Vicenza

Villa Badoer at Fratta Polesine, reached by train from Rovigo

Villa Foscari at Malcontenta, reached by bus #11 from Venice Mestre

Villa Cornaro at Piombino Dese, reached by train from Venice Mestre

Villa Emo at Fanzolo, reached by train from Padova

Villa Valmarana Brassano at Montecello Conte Otto, reached by train from Vicenza to Cavazzale

Villa Godi and the adjacent Villa Piovene in Lugo di Vicenza, reached by bus from Thiene bus station

Because of the restricted opening hours, most of these buildings were viewed from the exterior only.