Give Moel Siabod a try, can start and finish at the cafe, much quieter than Snowdon. There's a nice easy walk around Cwm Idwal, or hit up Pen-yr-Ole-Wen if you're keen for a mountain around there. For a longer jaunt, have a look at the Oggie 8, takes 12 hours to do but you can do the first half (north side of the Ogwen) on it's own which is considerably shorter. Aber Falls is also worth a day out, and the walks around Sychnant Pass too.
For the less keen, head to Llandudno for the Orme and a couple of great taprooms, or Conwy for lots of nice pubs/cafes/great castle/seaside scenery.
@Eejit's suggestions are great too. Let me know if you have a particular place in mind, I used to live around there.