Nissen is 360 degrees posterior wrap - wrapped around back, and the fundus is stitched together in front of the esophagus. It can be made "floppy."
Toupet fundoplication is a 270 degree posterior wrap, stitched to the esophagus. Toupet is often used when there is a problem with esophageal motility.
Belsey is 270 degrees anterior. Dor is 180 - 200 anterior.
Hill posterior gastropexy is another 270 degree posterior wrap, but the difference between it an Toupet is Hill is stitched across the esophagus, not to it, and it's attached to ligaments.
There are lots more wraps and procedures. There's a good article in Nature that describes them with diagrams. You can do a search.