oryx
Sitting on the bok of the day
The pub with the white Alsatian (and a cracking selection of beers) was called the Corner something-or-other (probably Corner House). Out the train station and left, down the road a bit, cross the busy road, past the bus-stops a bit and up a side road on your left. They had a decent outside seating area for the smokers also. (See? A proper recommendation).
I am a born & bred Yorkie who still goes back a lot.
I think you may mean the Maltings, in Tanner's Moat, which fits the description & is nice tho' can get crowded - or perhaps the Corner Pin tho' I'm not too familiar with that one.
Pleas cyberfairy don't look up & go to the Corner House (on Burton Stone Lane). When I was about 17 me and the erstwhile boyfriend would go in there and play 'spot who's on the game'. I think it may have recently suffered closure, perhaps temporary, due to alkie-induced fighting or similar. It's rough as a badger's arse (and I quite like rough pubs).
I'm pushed to think of a nice place to drink that isn't a real ale/traditional pub - can recommend plenty of those if you want.
As well as the other recommendations the Museum Gardens (right in the town centre) are lovely if it's a nice day. York is a compact city and good to just wander around.