All-Time Fan Favorites was a set produced by Topps from 2003-2005. It featured past players on cards with designs which were contemporary with their careers. These were not, however, reprints, but featured new photographs. I had purchased a few packs of this product back in 2005 but recently went looking for some set inserts on eBay.
The set featured a lot of different designs, including designs that you don't see often in other similar Topps sets.
There are a handful of non-players in the set,
The relic cards do not feature a past year design.