Here's a listing of the top 25 vertical farms, although it appears some are equipment providers for aeroponic or hydroponic setups. There's some mention of LED's, particularly for marijuana. (Indoor farming of marijuana seems to make sense based on what's desirable for the plants, not just because it's easier to hide the plants from law enforcement.) Mostly these farms are growing greens and herbs.
When I first blogged on vertical farms it was to mock the idea of sun-based vertical farms. That idea seems to have died a natural death; artificial lights are used, changing the economics. The linked article talks of the possibility of a multi-billion dollar industry by 2022 or so. Personally I expect there's a fair amount of froth and hype in its current state--at some point the market will sort out which designs and sets of technology can make money in which cities.