American Cylinders
The American Cylinder hs a flat tail piece that rotates 180 Degrees(back and forth)
When installing the cylinder and the flat tail pieces if horizontal you have a 50/50 chance of it working
If installing the tail piece Vertically, it should work every time. This may require you to use a screw driver and rotate the lock slot in the door, before installing lock.
17 Products
15031
American Cylinder Lock, Schlage SC1, 5 Pin Tumbler - Keyed DifferentKeyed Different Schlage Lock Cylinder
15032
5 Pin Lock Cylinder Schlage American Lock Cylinder Fits Sliding Door Keyed AlikeKeyed Alike Schlage Lock Cylinder
15033
American Keyed Lock Cylinder 1-1/16 inch x 2-1/8- Keyed DifferentSemi-Restricted Keyway
15034
American Cylinder Lock - Weiser 5 Pin Tumbler, Keyed Alike Semi-Restricted KeywaySemi-Restricted Keyway
6-C0971-52-0-PB
Cylinder for 1-3/4 or 2-1/4 door, Schlage - Keyed Different - Brass FaceSchlage SC1 Key 
6-C0971-52-9-PB
G-U / Ferco 1 Inch Cylinder, Schlage keyway - Keyed Alike - BrassMultipoint Lock Replacement Cylinder
6-C0971-52-9-BC
G-U / Ferco 1 Inch Cylinder, Schlage Keyway - Keyed Alike - Brushed ChromeMultipoint Lock Replacement Cylinder
6-C0972-52-9
American Lock Cylinder with 52mm Tail and Schlage Keyway for G-U Gripsets - Choose ColorAmerican Lock Cylinder
6-C0971-52-9-DBRZ
G-U / Ferco 1 Inch Cylinder with Schlage Keyway - Keyed Alike - BronzeMultipoint Lock Replacement Cylinder
6-C0971-90-0
Schlage Cylinder Lock with 3-1/2" (90mm) TailSchlage Cylinder Lock with 3-1/2" Tail 
9060000-KW
Pella Replacement Keyed Cylinder, Kwikset 1 x 1-1/4 - Choose ColorKwikset Keyway
9060000-SC
Pella Replacement Keyed Cylinder, Schlage 1 x 1-1/4 - Choose ColorPella Keyed Cylinder
3572371
Hoppe HLS7 Cylinder Tail Piece 3 Inch with 0.25 Inch Break Off MarksTail Piece Length 3" (76.5mm)
395032
Cylinder, 1 x 1-7/8 tail Piece, for 1-3/4 or 2-1/4 door Schlage KeyPatio Door Handle Set Schlage Cylinder