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If you want a little off the wall then the Green Pea is lovely. The surroundings are nothing special, but the guy that runs it (Tom) is great and he knows how to cook. The beer is nothing special but you can bring your own wine or beer for a few quid corkage and there's a fancy beer/wine shop over the road if you wanted something in particular.
Phone ahead to book a table if you're planning to go though, he's liable to turn away walk ins if he's a bit busy.
It's fallen a little in the Tripadvisor rankings. It's only 45th of 18,000 in London. Used to be top 10 ;)
https://www.tripadvisor.co.uk/Restaurant_Review-g186338-d2311519-Reviews-Green_Pea-London_England.html
Recommendations for places to eat in or around Greenwich. Everywhere I see on Google look like tourist traps or city boy fine dining.
Gastro pub level, good drink available (real ale, not hipster IPA) a big bonus, nice surroundings, or maybe something off the wall.