Kuckoo is a fab cocktail bar on watergate Street.
Story House is worth checking out, they often have theatre in there.
The townhouse is a Nice hotel on lower bridge street, they have bar restaurant with an excellent "secret garden" beer garden
Hickories on the River dee is lovely. There is lots along the river, inc.cafes etc. The boathouse is nice, it is a chain but the food it consistently nice, the Riverside beer garden is nice and they have nice if pricey Riverside rooms.
Chester zoo is fab.
Shopping in town is lovely, you can spend a nice day mooching around. Cheshire oaks is also nice for shopping but get there early as parking gets busy there, there is also a cinema there with lots of restaurants.
The cathedral is pretty.
Other nice eateries imo are commonhall street social, the botanist, the architect, the pied bull, the coach and horses. Groupon have an amazing for Dough Dough which is does probably the best pizza around imo.