AA does not require that a member accept a particular religion but Step 3 does provide that the member make a decision to turn his/her will and life over to the care of God, as that person understands Him. Thus, I have found the assertion that AA is not religious to be somewhat misleading.
On the other hand, AA can offer a lot of support to an individual that is trying to stop drinking and AA is almost everywhere.
One alternative to AA is SMART, which is discussed in this forum. Another is Quad A (Atheists/Agnostics Alcoholics Anonymous). However, neither of these is as widespread as AA.