Most people are interested in seeing the lake that has a volcano that has a lake that has a volcano. It is also the backdrop of Apocalypse Now when they played the Ride of the Valkyries. This is Taal lake. Of course there are many ways to get there, but if I was going to go there I would use this group.
There is also Tagaytay which is overlooking the lake. Lots of good places to eat there. One of the best (and most expensive) would be Antonio’s. It used to be a reservation only place, I’m not so sure anymore. Another is Bag of Beans. Not as expensive but they do have a smashing breakfast. Another nice place with lots of places to eat is Cliff House in Tagaytay.
I don’t really know where to stay in Tagaytay. The Boutique seems to be recommended.