I know this is an old thread, but since it is intended as a pinned reference:
The new owner of the Loose Screws NOS parts dealership, following the former owners' retirement, has brought out two new 27" folding tires:
SwiftTire ''Sand Canyon'' 27 x 1 3/8 Folding Touring Tire, Black Sidewall (120 TPI)
SwiftTire ''Sand Canyon'' 27 x 1 3/8 Folding Touring Tire, Tan Sidewall (66 TPI)
More from their blog:
SwiftTire ?Sand Canyon? 27 x 1 3/8 Tire 37-630 Made in Japan by Panaracer | Loose Screws
The new Loose Screws tires are described as 27 x 1 3/8" (which would be 35mm wide), but as typically 33mm wide when mounted on "touring rims".
Both versions appear to have the same tread. I like the Continental Gatorskin or Ultra Sport slicks, but they are wire bead, slick for smooth rolling on pavement, and not available wider than 1 1/4".
The Loose Screws tires look potentially interesting for people looking for a folding touring tire and/or for a slightly wider tire, with enough tread for mixed paved/unpaved riding.
I'd be interested in reports from anyone who tries these.
I have no affiliation with or interest in Loose Screws, but I have several bikes with 27" wheels.