DVD43, or DVDFab Decrypter. DVD43 runs in the background like AnyDVD, while DVDFab Decrypter rips the files itself. Just don't run DVD43 and AnyDVD at the same time or you may have conflicts between the programs.
Of course they aren't exactly the same as AnyDVD, but their main function is the same - to remove newer encryption. DVDFab Decrypter gets updated a bit more than DVD43, but even DVD43 works fine for me with almost all DVDs I've encountered.