Market research reports, industry reports and analyst reports will often include this type of information.
Market Share Reporter compiles market share information from thousands of newspapers, business magazines, trade publications and industry associations. The 2010-present editions are available online. Earlier editions back to 1991 are available in print in the Lippincott Library stacks, call number HF5410.M375.
Business Rankings Annual is another publication covering market share and market size information. The online version runs from 2010 to present. The library has print editions from 1990 to 2010, call number HG4061.B89.