Found this site
http://mapofcoins.com/bitcoin#Don't know all data they have is correct or not but they have listed all coins cloned from bitcoin in very nice way.
Total coins cloned from bitcoin = 667
Coin created this month = 2
This isn't going to be what he's asking for, he's asking what coins come straight off the chain of Bitcoin through forking. Not coins that just clone Bitcoin and use the same code as it.
Here's the link of coins that are forks of Bitcoin -
https://en.wikipedia.org/wiki/List_of_bitcoin_forks - Though the only one that I consider real is going to be the Bitcoin Cash one, just my opinion though.
Those are forks of the Bitcoin Core client, not necessarily forks of the Bitcoin chain.
As of right now, Bitcoin Cash is the only Bitcoin hard fork that used the existing Bitcoin blockchain at the time of the fork.