The Eastern Tandem Rally was held August 6-8, 2004 at Keuka College, Penn Yan, New York. 107 teams from as far away as Arizona, participated in this event.

Another interesting diversion for the GREATS is the annual off-road tandem weekend in the fall at Allegany State Park, affectionately reffered to as the Fall Allegany Rally for Tandems (F.A.R.T.).

The GREAT Society has met on selected, regularly scheduled rides with the Rochester Bicycling Club and has shared many of these rides with "R.A.R.E." (Rochester Area Recumbent Enthusiasts).