TITLE: Hopf algebras examples
QUESTION [17 upvotes]: Following Richard Borcherds' questions 34110 and 61315, I'm looking for interesting examples of Hopf algebras for an introductory Hopf algebras graduate course. 
Some of the examples I know are well-known:

Examples related to groups and Lie algebras,
Sweedler and Taft Hopf algebras,
Drinfeld-Jimbo quantum groups.

(These examples can be found for example in Montgomery's book on Hopf algebras.) 
Other interesting examples are Lusztig small quantum groups and the
generalized small quantum groups of Andruskiewitsch and Schneider.
Therefore I'm looking for interesting and non-standard examples maybe related to combinatorics or to other branches of mathematics.

REPLY [2 votes]: To complement the answer about Hopf algebras in categories other than Vect: in the monoidal categories of stereotype spaces, (Ste,$\circledast$) and (Ste,$\odot$) (which generalize the category (Vect,$\otimes$) of vector spaces) there are lots of examples of Hopf algebras. Some of them are generalizations of the standard constructions, like  stereotype group algebras, some others generalize quantum groups, some others appear as envelopes of already constructed Hopf algebras. A detailed explanation can be found here.