I've eaten at bistro 1847, both in the city centre and in chorlton, several times in the last year since arriving in Manchester, and each time have had a wonderful meal.
Service is friendly and not intrusive, the restaurant is small and quiet, nicely appointed.
Dishes are a good size, and always a lovely mix of flavours, the menu changes frequently, and desserts are delicious! (I asked for the recipe for their gin and tonic cake on my first visit, sadly they never gave it to me, but I can't really hold that against them!)
Jazz nights are also great, nice intimate performances.