Middleport Pottery is lovely and worth a visit. I haven't been there for a while as no longer live in Staffordshire. There is a cafe there, and it's by the canal. It was the original location for the Pottery Throwdown before they moved to Gladstone, which is in Longton.
Trentham Gardens has a lovely shopping village, all cabin shops and very nice atmosphere. And as said, also lake and gardens.
There is also Stone and surrounding areas, just 7 miles outside S-o-T. There is the Aston Marina close by and Stone market town itself has quite a few good coffee shops and a few good pubs.
For a walk in the woods, Cannock Chase Forest.
There's also Shugborough Hall for architecture and lovely gardens, owned by the National Trust - really lovely and interesting.
Another National Trust is Biddulph Grange Gardens, really worth a visit.
If you love tea rooms, highly recommend The Rabbit Hole Tearoom in Stoke centre itself but you DO have to book in advance.