Do you climb? Or just interested in non-roped rocky steep stuff? There is some scrambling and bouldering at White Rock (Redbank Plains). Bouldering at Toohey Forest. Have you done the caves route on Tibro (at the fairly extreme end of scrambling)? Flinders Peak has a bit of scrambling.
Within an hour of Brisbane is a pretty hard ask. Main Range has some bits all over the place. Mt. Castle, Spicers Peak has a bit. Tiny bits on the gorge routes on Mt. Greville. I can't think of anything that has as much solid rock as Tibro within that range though.
Further afield Barney obviously has a lot. Girraween is a scramblers playground. Sunshine Coast Hinterland mountains like Mt. Coolum.
Maybe you should just get into rock climbing.

Tibro, Beerwah, Ngun Ngun, Mt. Coolum, Kangaroo Point, Frog. There are a lot of options nearby to keep you busy for years.