Band-e Amir – one of the most stunningly beautiful natural sights in the whole country, these turquoise lakes are definitely worth the effort. Day trips are popular, but if you have the time and don't mind roughing it, an overnight stay affords the best experience. A private hire minivan should cost around 2-3000Afs depending on bargaining skills, and takes about 3 hours.
Shahr-e Zohak
is a fort some 20 kilometers back towards Kabul that requires a jeep to get to. It's a ruined city at the top of cliffs. Your guide from the Buddhist site can also guide you here. Very interesting and great views from the top. En-route from Bamiyan there are also guard towers that are UNESCO world heritage sites.