English company OneLuggage makes gear for business travel, some of which looks useful for commuting cyclists. The Practical Shirt Carrier is just that: and it's not hiding its light under a bushel. It is indeed a practical way of carrying your shirt so that it doesn't get creased and rumpled in your bag on the way to work.
OneLuggage draws, so it says, on over 20 years of business travel to make stylish, practical luggage. Its kit is modular, meaning different bits work together, and you can mix and match to your heart's content.