Absolutely tons on your doorstep, ideally need somebody to show you the best bits, but an OS map and a bit of time will help.Here's a list of join the dots place names for a route to follow, with the aid of the map you may find some good stuff.
Taff trail out past Radyr wier, left over foot bridge into Morganstown, rear of Pentyrch quarry(behind Ty-Nant inn), right into woods as you exit quarry workings at gate for short climb and muddy downhill.Cross Pentyrch hill into Coed-y Bedw(go left and follow a loop back down from the top) to the Garth Cottages (Gwaelod Y Garth), take a left to head over the Garth itself, down the back into Gwaelod again.Cross Taff, head for Castell Coch, Ridgeway Path towards Machen, Rudry, Caerphilly Mountain, Wenallt, Castell Coch, Taff Trail back to Cardiff.