Here are some information resources on the railroad, its history, and what it's like to travel on it today:

Adele Gronbach writes about her June 2000 trip in International Travel News online. [ITN doesn't seem to have a search capability, but Findarticles found this piece on their site.]

Keith West's trip report (1994) and information center on the TSRR: http://www.ego.net/tlogue/xsib/

Lowell Reithmuller's trip report (1992): http://www.udel.edu/eli/train/trip1.html

A page with links to modern pictures, and more information: http://www.cs.toronto.edu/~mes/russia/siberia/trans.html

A page with information on booking trips on the TSRR today: http://www.russia-rail.com/

These are just the start; try a good search engine like Google or Northern Light.