Brilliant place, but even if it is listed here on HappyCow, it's sometimes difficult to find using HappyCow's search engine - don't know why.
The Third Eye has a Helpful staff, is close to the beach, and it's great to (finally!) find a Greek cafe with lots of non-Greek options. They have great Thai food, very nice Chinese fried rice, and they also have well known vegan stuff like guacamole, hummus and falafel (but the falafel was for some reason only available as a non-vegan option).
The vegan options are usually clearly marked on the menu, and many of the lacto dishes can be served without animal products.
Cons: None that I can think of..., ...other than that their falafel was nonvegan