According to The Economist, 2015-09-26, pornography (the "adult" industry) may be one such industry. Due to the entrance of YouTube-like porn aggregators, industry revenues have shrunk dramatically in recent years:
In America the number of porn studios is now down from over 200 to 20 ... Performers who used to make \$1,500 an hour now get \$500 ... Revenues are well below their peak; how far below is hard to say, as most porn producers are private. Just before the tubes took off, plausible estimates put worldwide industry revenues at $40 billion-50 billion. Mr Thylmann thinks they have fallen by at least three-quarters since then.
Here though we must perhaps be careful about defining "market size". If we define it by such measures as industry revenue and profits, then "market size" has indeed shrunk. But if we define it by say quantity traded (e.g. "number of hours of porn watched"), then probably "market size" is no smaller than before.