Well, if you are thinking of something like two or more people playing scrabble or a CCG over a network, yes I'd consider that a browser-based game. If you are thinking of a single-player board, card, or dice game I'd collectively term those solitaires. Technically I guess they are turn-based strategy games, or some are more on the physics sim side, for example I know my friend's father is particularly fond of solitaire pool (billiards) games, and pinball would go in the same category. I didn't include them in the survey because typically these kinds of games are developed as physical board/card/dice games and only then ported to a computer format. Boardgamegeek is a great community for discussing this sort of design, if you're not already familiar with it. Not to exclude them or anything, they do fit in under gamedev's umbrella, just saying that if you don't find enough discussion of them here try there too.
Keen observations all ... Planning an initial run of about 500 boxed sets this year or next, At this point the website will be limited to robot play or between people using a common device. Going to hash out VB for Visual Studio but hire some help with xaml. Today I posted in another thread about Holey Hanna, which is a space type game where the planets get holes shot through them like swiss cheese and modeled on real world gravity. Think I'll start a new thread about how the happy people of Hanna are ruthlessly attacked by Jumpy Joe Schmo and his evil minions from the planets Holey Moley, Schmoley and Guacamole.