There are a few face book clubs in the area. SSG (sky splinter group) was a group formed through skyride leaders wanting to carry on riding through the winter. They have rides on Sundays and vary in pace and length, so cater for most levels. There is also MSC (Manchester Social Cycling) a similar group that do rides of different lengths and speed. If you want to join them let me know and I will put you in touch with the group leaders as they are closed groups.
I have been out with Bury CTC a few times in the last year. Nice rides out to Yorkshire, Cheshire and Lancs, missing the main roads. I have not been out with Bury Clarion, but did participate in their hill climbing race last year. very well run and a good turn out of 50+.
I go out with a few people that I have been cycling with for about a year, we normally cover 50-100 miles on a Sunday morning and in the summer ride on Tuesday and Thursday evenings, normally over to Blackstone edge and Cragg Vale, rides normally start in Bury, the velodrome or (most often) the golf club at Heaton Park. You are welcome to join us one weekend.