The question came up as to how many there are. I shall limit this to those which require Masonic membership exclusively as a prerequisite and perform ritual in the US
Royal Arch
Cryptic
KT
Mark
Royal Ark Mariner
AMD
Shrine
Grotto
National Sojourners
Red Cross of Constantine
CBCS (Rectified Rite)
Royal Order of Scotland
KYCH
HRAKTP
Knights Preceptor
Spiritual Knights
Scarlet Cord
Pilgrim Preceptors
SRICF
Operatives
Thrice Illustrious Masters
Royal Arch
Cryptic
KT
Mark
Royal Ark Mariner
AMD
Shrine
Grotto
National Sojourners
Red Cross of Constantine
CBCS (Rectified Rite)
Royal Order of Scotland
KYCH
HRAKTP
Knights Preceptor
Spiritual Knights
Scarlet Cord
Pilgrim Preceptors
SRICF
Operatives
Thrice Illustrious Masters