In the late '70s/early '80s, Tom was a big name at Schecter, which made killer strat and tele bodies, necks, pickups, and hardware. The guitars were generally assembled by about a dozen "Schecter Shops", like Rudy's (as in Rudy Pensa - John Suhr was the luthier there, and built a lot of them), Wilcutt's (who built a lot of "exotic" Schecters, eg, solid figured maple/koa/padauk/etc bodies, Braz RW necks), Strings & Things in Memphis, and Valley Arts (before Samick bought them) until '83 or so, when Schecter moved to TX and started building their guitars entirely by themselves.
Tom then set up his own shop and started supplying bodies and necks to what became pretty major high-end names like Pensa-Suhr (Mark Knopfler's first Pensa-Suhr is a TA body and neck - John Suhr hand carved the top, though) and Valley Arts (where Don Grosh had come on board as production manager). He started working on pickups, as well, and around '88, he started building on his own instruments.
Tom never made any complete basses, but he definitely made bodies and necks for, in his own words, "other prominent builders." He also sold parts to Moon in Japan for a while, who assembled them and labeled at least some of them as Tom Anderson Guitarworks for their domestic market. He says he stopped doing bass stuff in '90.