Here are some independent Tea & Coffe merchants. You may need to take your own bags

Leeds The Teapot has  coffee beans and leaf tea from all round the world. Really lovely stall in the food hall. Also makes coffee to drink. See what else the market has to offer, here.

Nottingham Coffe roasters. Will also post out plastic free and you can order on line 

Aberystwyth great tea and coffee shop

Huddersfield
Coffee Evolution fantastic

Lancaster
Lancaster tea merchants http://www.thecoffeehopper.com/
Leaminster Nitty Gritty Wholefoods  do loose spices and tea.

TodmordenLoose tea can also be found on Todmorden Market.

WHole Food Market used to sell Tea & Coffee beans and are happy for you to use your own bag. http://plasticisrubbish.com/2014/07/21/whole-foods-market-revisited/