There's not much to go on in the way of age group, budget etc!
You could try Anthony's either the posh restaurant on Boar Lane or the cheaper bistro 'Piazza by Anthony' in the Corn Exchange, which is a lovely buidling. From either it is a short walk to the lower end of Briggate and the railway arches where there are some decent bars. not all of which are 'LGBT' venues! Alternatively go to Millenium Square or 'The Light' where there are quite a few bars and restaurants, including most of the usual chains. Spice Quarter is a good all you can eat curry house. The other restaurant area is on the streets opposite the Town Hall and going down Park Row, where there's a Jamie's Italian and a reasonable choice of other chain restaurants Ask!, La Tasca etc.