There is the new Al Hamra resort/golf club
There is also another nice golf club (cant think of the name ??), which does a lovely brunch

We love RAK, as the mountains are there...and of course it borders Oman (our favourite)
RAK is very pretty, but there is a lot of rubbish (especially around the main beaches)

It is a lot more traditional than Dubai...also has a great little museum, that we have been to a few times.