Not gonna disagree with the other mentions, but I would also add:
Poas Volcano National Park just a little to the north of there.
Not sure if you have a car, but if so Playa Hermosa just south of Jaco is a great beach trip. It is probably a two hour drive, but it is not a difficult (mountainous) drive. Around that area, there are hikes, ziplines, waterfalls, crocodiles, nightlife in Jaco and the beach. I would not recommend Jaco for the beach as it tends to be more populated and littered with trash.