An quasi-cinematic tweak on this I've seen has been called by my game group "the bag". In brief, a list of stuff gets designated "bag stuff"--this is generally a variety of potions, scrolls, and miscellaneous crap that most groups accumulate. The total weight of the stuff on this list gets divided by the number of people who want to carry a portion, so everyone's carrying an equal share.
In play, anyone who's carrying "the bag" can access the entire list of "bag stuff" and pull out of the bag anything from that list, on the assumption that it was in their share for that day.
I like this a lot. It solves a lot of the accounting issues and what not. While still maintaining the importance of weight and finite resources.