Trademarks of the major American exhibitors, at least as they existed in August 2012. At the time of the original posting, I was concerned that this logo collection would soon be outdated. Following the current trend, one or two companies could be bought -or otherwise absorbed- by another. This proved to be prophetic. The Rave chain was acquired (or gobbled up) by Cinemark in May 2013. Carmike became an AMC holding in March 2016. 
Logos from http://www.amctheatres.com, http://www.carmike.com, http://www.regmovies.com / Regal Entertainment Group, http://www.cinemark.com and http://www.ravemotionpictures.com