There are now so many vegan places to eat in London and I must confess I haven't been to all of them. 
Below are listed ones that I've been to and can recommend, or ones that others have recommended to me.

KEY: The places in bold are vegan

The Best Vegan Pizza ​

​Purezza -  Camden Town. For more details and listings of other vegan pizza restaurants see article

​The Best Vegan Chinese 

• ​Loving Hut Archway - Archway
• Zen Buddha  - Edgware
• Tofu Vegan - 5 branches in London
  

The Best Japanese Vegan

​Itadaki Zen - London's only Japanese vegan restaurant

The Best for Sushi

123V / Studio Gauthier offer an assortment of vegan sushi. Located at BFI Fitzrovia, 21 Stephen Street, London W1T 1LN and at Browns, 39 Brook St, Greater, London W1K

The Best Vegan 'Fish n Chips' ( see article)

• Unity Diner - Spitalfields. The best vegan 'fish n chips' . see article
• ​Fed By Plants - Gabriel's Wharf, South Bank location

The Best Indian Vegetarian

• ​Sagar South Indian Vegetarian - has separate vegan menu. Central London, West London and  and Harrow locations
• Rani (in Finchley) - Vegetarian Gujurati, Finchley Central. Great Indian buffet. Non-vegan items labeled. ​

The Best Mexican Vegan

Club Mexicana - London's only vegan Mexican restaurant. Located in the West End

The Best Thai Vegan

• Mali Thai Vegan - Earls Court
• ​Plants of Roselyn - London Bridge

The Best Vietnamese Vegan

Sen Viet Vegan - London's only Vietnamese vegan restaurant. Hoxton

The Best For Caribbean Food

Jam Delish - Vegan Caribbean restaurant located close by to Angel, Islington. Very nice food and decor. Cocktails also available.

The Best Vegan Korean food

Mukbap - small cafe serving vegan Korean food

The Best Vegan Ethiopian Food

• Andu cafe - ​The first Ethiopian vegan cafe in the UK. Located nr Dalston Junction
• Engocha -  Nr Tufnell Park
• Beza  - Elephant & Castle area.
• Merkamo - 42 Hanbury Street, off Brick Lane 

The Best Vegan Scandinavian

Dauns - London's only vegan Scandinavian cafe /Deli. 

The Best Place for That Special Occasion

• ​Gauthier Soho - Has had excellent reviews re their vegan tasting menu. Food by Michelin Star chef Alexis Gauthier.​
• Studio Gauthier Sister restaurant to Gauthier Soho, but less formal.
• Mallow - sister restaurant to Mildreds 
• Plates - Food created by award winning chef Kirk Haworth
  

The Best for a Healthy Meal

​

• Vantra - Oil free, gluten free, sugar-free, vegan. Central London​​​​

The Best Places Where You Won't Be Rushed

Vantra - Wardour Street, Central London

​The Best For Breakfast / Brunch

• Gallery Cafe - For breakfast and brunch. Bethnal Green 
• ​The VegBox Cafe Near Baker Street in Central London
• ​Mildreds - various locations in London

The Best Place to Get a Burger

There are lots of places to get vegan burgers in London. Here one recommendation:

• ​​Temple of Hackney or Temple of Camden ​​

The Best Vegan Buffets

• ​Su Buffet - The last remaining vegan Chinese buffet restaurant in London. Located at Shepherds Bush. All you can eat for about £10. 
• Studio Gauthier (weekday lunch only). £8.50 single bowl
• Sen Viet Vegan - weekend Vietnamese buffet

​The Best Places to Get Vegan Fried Chicken and Vegan Kebab

• ​Temple of Hackney or Temple of Camden - for fried 'chicken'
• What The Pitta - for kebabs

The Best Places for Cheap Food (under £10)

• ​What The Pitta - Brick Lane
• Su Buffet - Shepherds Bush
• ​Camden Market: (Magic Falafel)​
• Indian Veg Chapel Market.​​

The Best Places for Vegan Cakes and Pastries

• Nama Café and Cake House in South London
• Cream Dream - Ukrainian vegan cafe 
• Okja Bakery - Spitalfields​​​​​​

The Best Place for a Vegan Sunday Roast Dinner (all highly recommended)​

• ​​Karamel, N22 - Wood Green
• ​LD's Kitchen at The Black Heart Pub - Camden Town
• Unity Diner - Sunday carvery, Spitalfields/Aldgate East area

The Best Vegan Doughnuts

• ​Crosstown donuts - Various locations
• ​DoughnutTime - Various central London locations​

The Best Vegan Bar / Pub

​​The Spread Eagle - London's first 100% vegan pub / restaurant​

The Best Place To Take A Friend (or Meat Eater!)

• ​Mildreds various locations​

​The Best Place For Gluten Free

• ​​​​Vantra - Healthy vegan food right in the heart of the West End/China Town

​And for cakes/pastries​

• ​Cream Dream cafe - for cakes. Covent Garden location

Other Recommended Cafes/Restaurants

• King Cook Daily - Asian inspired healthy food. 10 Hanbury Street London E1 6qr. Near Brick Lane
• ​Ahimsa - Located in Pinner in North West London. Small but excellent vegan cafe. Vegan breakfast, bowls, wraps.
• Amrutha Lounge - South east London. This place has been highly recommended
• 222 Vegan Cuisine - Lovely vegan restaurant in West London run by chef Ben Asamani
• ​Cafe Petiole - mostly vegan, serving lunch inc vegan cakes

 

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Non-Veggie places worth mentioning
​​

• ​​CafedeNata​ - vegan Portuguese custard tarts
• ​​Amorino - Ice cream & sorbets . Cafe chain
• Pizza Express - for pizzas. Separate vegan menu
• ​Wagamama - for Japanese.
• Wasabi - for vegan sushi