There's also the Museum at Liverpool Football Club, if you're into that kind of thing.
Both Cathedrals are worth a visit.
Cocktails at the Pan Am at Albert Dock.
There's some interesting shops up Bold Street (walk up Church Street with Marks and Spencers on your left and Primark on your right, cross over the road at the traffic lights and walk on up). Just when you think you've passed the shops carry on a bit, there's more! Including a lovely shop called Utility
http://www.utilitydesign.co.uk/mall/infopagevi ewer.cfm/UtilityDesign/OurStores
Have fun.