There is a new database for polymake objects, called polyDB. The software, based on MongoDB, is a bundled polymake extension (to be delivered with the next release). The data resides at db.polymake.org. Access is via polymake directly or via web front end. For the list of available data sets use
db_info in the polymake shell.
This is a collection of objects from geometric combinatorics available in polymake format.
You can also check here for other classes of polytopes.
Contributions are welcome!