Aladzha Manastir Ðладжа ÐанаÑÑÐ¸Ñ outside Varna is a beautiful monastery, which is dug in a giant rock. The entrance fee is quite low, and it's a very beautiful, and quite weird thing to see.
Pobiti Kamani ÐобиÑи ÐамÑни , literaly "the rocks which got hit", also outside Varna, are a bunch of gigantic rocks, standing up, in the middle of nowhere. The rocks are said to radiate energy and a lot of hippies stop by.
Another beautiful place is the Cape Kaliakra. This cape has a long bloody history, starting with 40 virgins jumping off, so they won't have to marry invading Turks, and ending with a bloody sea battle.