Oh yeah, OP, if you are still around, a Sottish tourist board website or a guidebook will tell you the tourist sites/sights in Edinburgh.
My favourite place is the National Gallery complex in Princes Gardens - it has a wonderful collection of idealised rural Scotland from the time of the industrial revolution, some of which have a breathtaking use of light.
Greyfriars Kirkyard is pleasant enough and the tours can be interesting. The Greyfriars Bobby story is quaint and I'm sure beloved of many tourists.
I like St Giles church. It is pivotal in British history because of Jenny Geddes (or the myth of Jenny Geddes). Google and Wiki (okay, treating Wiki with the care Wiki should be) will help tell you why more clearly than I could. And it is a beautiful church.