Originally Posted by
Scots_Al
Glasgow? ;-)
The OP wants *good* places to see.
As well as the museum, there are several art galleries if that takes your fancy. We like the National Portrait Gallery on Queen Street.
As Jenbel said, day tickets on the bus are a good way to save if you're going to be doing more than two single trips. And as well as the pandas (you have to book a slot to see them) and penguins, the zoo has the first koala Joey born in the UK.
You can walk up the royal mile to the castle esplanade without having to buy a ticket, so you can still see the view from the castle.