There was never a browser mining component in BitcoinJS. There is mining functionality in bitcoinjs-server, but right now only for unit testing purposes, i.e. to prove that the node can generate valid blocks. (You would then use this to mine using a standard Bitcoin miner like cgminer for the actual proof-of-work.)
With a bit of googling I was able to find a bunch of WebCL JavaScript miners floating around, e.g.
https://github.com/temujin9/tumen_minerNothing I found looked particularly polished, but if you do some poking around you should be able to piece something together.
If someone builds a fairly clean WebCL miner I'd be happy to host it at bitcoinjs/bitcoinjs-miner if desired.