One of the earliest Topps sets to crib an earlier one was 1948-49 Magic Photo. Patterned after a number of self-developing issues of the 1920's and 30's, a couple of series of circa 1921 strip cards seems to be the earliest of these:
Magic Photo of course was a major early Topps release:
It was followed in 1955 by Hocus Focus:
I am struggling to find the link or a scan but there was an obscure 1930's set Called Hokus Fokus, if I recall correctly, that operated under the same principle of wetting the blank surface, rubbing against a piece of paper with a developing chemical and then exposing to sunlight.
Another series, American Chicle's Thrilling Stories (R25) was a small pulp booklet with a colorful, sensational cover:
While R25 sported text stories, other similar issues from the 1930's did not and featured traditonal comic art. Topps seized upon these for a couple of jokey issues in 1967 and 1970 respectively:
Of a slightly sturdier construction, Goudey came out with some flip movies of baseball players in 1937 and '38; other companies issued similar fare as well in this time frame:
Topps of course came out with Flip-o-vision in 1949:
The 1930's also gave us 4 on 1 Exhibits (1929-38) and 1935 Goudey Baseball:
While 1969 gave us Topps Mini Stickers (a.k.a. 4 in 1's) and Football Stickers:
There are other issues as well this can be done with. I'll dig out a few more and maybe some of my faithful readers have a few doppelgangers of their own to share.