Tea card premiums. It wasn't just tobacco companies that had card premiums in the late 1800's, although they were the most prolific. Arbuckles' Coffee was one of the more prolific non-tobacco issuers.
http://www.arbycards.info/
The cards are much bigger than tobacco cards, usually in the 3x5 or 4x6 range, which reflects the larger packaging they came in. And usually they are on much thinner stock as well.