I wasn't actually commenting on the relative merits of the two programs.
The question was is there any free software that operates similarly to AnyDVD and the answer is yes, DVD43, which BTW is relatively well known.
It was popular some time ago then fell out of favour following a very long period during which it wasn't updated.
The author is now back developing it again and has been for several months now but most users probably don't realise this is the case and as a result it tends to get overlooked.
From what I understand it performs reasonably well but it's down to the OP now to assess whether or not it meets their needs.
It's their only free option though as far as I'm aware.