First and I believe only Vegan band I can think of was British band McCarthy.
Rather than merely playing background music , Post Punk Kitchen intersperses its vegan cooking thrills with indie bands on their Public Access TV Shows.
They are taking a break from the Limelight but you can browse The Archive to see past productions.
As for the Recipes, topping their playlist for winter, Soup is On.
I might give a try at the Ancho Lentil Soup With Grilled Pineapple (by Isa).
I borrowed their photo.
As for mixing music and cooking on TV, they are not the only ones as I illustrated in Cook and Groove with Neneh Cherry.
For full disclosure, I do eat meat, fish and cheese and I like Anthony Bourdain which they despise as illustrated in 10 things that are Punker than Anthony Bourdain.
There was a time when I was a vegetarian.
There is nothing wrong about being open minded as to what you cook though.
Other pre and post punk stories: Anarchy in the US, 'Punk House' the book and 77 to 07...Punk turns 30...Trivia Questions