So I have found 4 places that look good.
Tampopo- which does amazing food (I go to the one at the trafford centre all the time), they also cater for vegans. They have long tables so would be suitable for us lot. We would need to book though and might want to move somewhere else after eating. Closer to Victoria station but not far from Picadilly.
Tampopo, Manchester - 16 Albert Sq - Restaurant Reviews, Phone Number & Photos - TripAdvisor
Allotment bar and restaurant- Never been but looks nice inside from the photo's. Says it can cater for all diets and needs. They also have a Gin bar! Looks like they have longer tables as well. Very close to picadilly.
Allotment Bar & Restaurant, Manchester - Restaurant Reviews, Phone Number & Photos - TripAdvisor
Crown and Anchor pub- Looks like it does really nice pub food from the reviews. Again it is closer to Victoria but not far from Picadilly.
Crown & Anchor, Manchester - Restaurant Reviews, Phone Number & Photos - TripAdvisor
Pieminister- because who doesn't like a pie! Says they do vegan options and can cater for a range of diets. Very close to Picadilly.
Pieminister, Manchester - Restaurant Reviews, Phone Number & Photos - TripAdvisor
We don't have to go to any of these, just suggestions I found that look good from the reviews.