Multi-day ticket: €5.50 for three days, €10 for 7 days. Ride price is €0.80 (would be €1 by now according to a source) paid in cash or €0.70 on e-ticket card.
The Ninth Fort: Very worthwhile, a museum dedicated to the Holocaust and the history of Kaunas / Lithuania (first half of the 19th century) and of the fortress.
Pažaslis Monastery: A baroque monastery on the reservoir.
Church of the Resurrection: A hypermodern church from the beginning of this century.
Seventh Fort: Located more in the city than the Ninth
Rumsiskes open-air museum: The local version of Bokrijk
Kadagių slėnis (Cade Valley): Unfortunately, no bus stops nearby. The nearest bus stop is in Samylai, which is another 10 km walk in one direction (and then along roads)
In the Ąžuolynas, on the northeast side of a valley that runs through the park.
Beaches along the Nemusas (left bank) a little downstream from the city. The last beach is, according to information I found on a PlanetRomeo profile, an unofficial nude beach for men, but in practice the beach in front appears to have been used in the same way. The last beach is accessible via a narrow forest path near a sign pointing to a tourist attraction or so on the hill above (which cannot be reached from there). Can be reached by bus 18, after which it is a 2.5-kilometer walk.
A beach on the Nemunas southwest of the Three Virgin Bridge, on the left bank. The first part of the beach is just beach, but where the path leads away from the water and there is rather shredded sand with reeds along the river, there is a gay cruising zone. Nude sunbathers are also hidden between the reed beds.
There would be a second cruising site a little outside the city downstream from the, on a lake parallel to the Nemusas. About 7 km from the old town, but you can do part of the route by bus from Kaunas Pilis after which it is another 2.5 km walk. The question is whether this still exists given the excellent other cruising place on the Nemusas itself.