I don't know if there is any room for a good reading chair but if you can: every library should have a wing-back. Ikea brought this style back a couple years ago. It's an Ikea classic and I can see why.
This chair is no longer available. IKEA - STRANDMON, Wing chair, Vellinge dark blue, , You can really loosen up and relax in comfort because the high back on this chair provides extra support for your neck.