Around the base
Intro
These moves are mostly used in Acrobatic rock and roll, involve flyer flying around the base. Note that partial moves are often used in other dances like West coast swing, Salsa etc. Partial scarf or scarf with twist seems to be most popular.
See Acrobatic R&R safety levels in Reference section.
Around the world
A.k.a. belt in Acrobatic R&R.
Scarf
A.k.a. tie in Acrobatic R&R. "Normal version is legs first.
Inverse scarf
A.k.a. inverse tie in Acrobatic R&R. Inverse version is head first.
Lateral tie
See Acrobatic R&R safety levels. Don't think I saw this in real life ever.
Scarf with twist
A.k.a. Dulain in Acrobatic R&R
Helicopter
A.k.a. shoulderball in Acrobatic R&R.
Inverse helicopter
A.k.a. inverse shoulderbal in Acrobatic R&R. Flyer is facing opposite direction but otherwise movement is same as regular helicopter. Not sure I've seen it.
Table top
A.k.a. Berliner in Acrobatic R&R.