Civil registration in England & Wales
There are now several ways to locate births, marriages and deaths post 1837 in England and Wales. The different sources are FreeBMD, Ancestry, FindMyPast and the General Register Office. If you look for this in FamilySearch historical records, it gives you the FindMyPast records. Whereas the first three are based on the old quarterly indexes, the GRO has prepared completely new (or not so new now!) indexes for births and deaths which have significant differences from the other three. I prepared a table to compare these.
I will also add this to our resources page
I should also mention that, if you cannot find an entry you are looking for in one index, it is worth trying the other. I have found the odd discrepancy between the indexes. For example entries in the quarterly index that do not appear in the GRO index and vice versa. How extensive this is I have no clue.