Not everyone can visit or afford a vegan in-person class. So most people will learn online. Good in-person classes are Our Lizzy (includes bed-and-breakfast accommodation in the Malvern Hills, so you can walk off your dinner after making it!) and Morso Vegan (Bath) which offers courses for world cuisine and the prestigious Demuths Diploma, which aligns to catering college qualifications, taught over 6 weeks). Here are good online classes. Read food safety for people & pets.
The Happy Pear (Ireland) offers courses by identical twin brothers who run a foodie empire on the Emerald Isle. Beginning with a small cafe, they now have several best-selling recipe books, ready-meals and courses on general cooking (to take you to chef-level in 4 weeks), baking (croissants to apple tarts to scones and layer cakes) to a happy heart course for people diagnosed with high cholesterol.
Brownble offers superb online cooking classes from a lovely woman, with her medically-trained husband ensuring everything is nutritious, as well as delicious. The membership (with free trial) includes a library of cooking classes from easy to intermediate, with new content added each week. A portion of profits are donated to farm sanctuaries and plant-based food charities.
Veecoco (Germany) is a wonderful site run by two brothers who offer lots of online classes by some of the best chefs and teachers in the world. Take a free 7-day trial then get access to over 800 lessons from 23 courses. From Thai, Japanese and Italian food to raw food and desserts, new courses are released regularly.
Food Future Institute (US) is run by world-class chef Matthew Kenney, and as well as offering an extensive course for ambitious home cooks, his foundation course is ideal for professional chefs. Learn how to make nut cheeses, ice-creams, fresh pasta and pizza, breads, desserts and pastries. Plus there is education on raw foods, gluten-free baking and menu planning.