I want to bring up a point not yet discussed in this thread. The term rice paper is a misnomer, as there is no paper actually made from rice. The term generally refers to fine Japanese papers, often the acid free variety which are excellent for storage of fine photographs and (of course) LPs.
Even true rice paper is but a misnomer for paper made from the pith of a small tree found in the Far East. It is often, erroneously, called India Paper.
The important thing here, whether for photographs or rare LPs, is to store them against material that it will not react with. This could be any fine quality acid free sleeve or even the modern plastic lined and paper reinforced sleeves already discussed here.
Ive used the plastic and paper combo without any problems, and I have a good many LPs stored this way.
One historical and true issue with plastic sleeves, responsible for the hatred of all non paper storage is the old factory packing for Columbia Six Eye records.
This antique plastic formulation did stick and mark a fair number of LPs, with results varying from no harm to severe degradation of the sound. If you have any old Six Eye LPs in their original sleeves, it should be ditched in favor of either acid free paper or modern plastic.
Beyond that, I feel that careful cleaning and storage in a modern, high quality sleeve is all that is necessary for long term protection of our valuable vinyl collection.