The best and/or my favorites in the subgenre:

• Anneliese: The Exorcism Tapes (2011)★★★★
• Atticus Institute, The (2015)
• Beyond the Door (1974) ★★★★
• Carrie (1976) ★★★★★★
• Fallen (1998) ★★★★
• God Told Me To (1976)★★★★
• REC (2007) ★★★★
• Şeytan a.k.a Turkish Exorcist (1974)
• The Amityville Horror II (1983) ★★★★
• The Amityville Horror (1979) ★★★★★
• The Exorcism of Emily Rose (2005) ★★★★
• The Exorcist II (1977) - Cheesy, but good. ★★★★
• The Exorcist (1973) ★★★★★
• The House of the Devil (2009) ★★★★★
• The Omen (1976) ★★★★★
• The Rite (2011) ★★★★

Wasn't Particularly Fond Of...

• Exorcismus (2010) ★★ (extra star for creepiness)
• Exorcist: The Beginning (2004) ★
• Rosemary's Baby (1968) ★★
• Stigmata (1999) ★★
• The Devil Inside (2011) ★
• The Exorcist III (1990) ★
• The Last Exorcism Part II (2013) ★★
• The Last Exorcism (2010) ★★
• The Possession (2012) ★★★
• The Reaping (2007) ★★★

To Watch

• Bless the Child
• Den
• Exorcism At Midnight
• ✔ Exorcismus
• REC 2
• The Ninth Gate
• The Prophacy
• Touch of Satan