So if you're looking for details for a birth up to and including the very early records of 1854, the site Eric suggested gives the year (but not the date), number, gender, name of child, names of parents, place (sometimes abbreviated), denomination and parish. It looks like it comes from baptismal records.
From 1854 onwards, when civil registration must have come in, the details are the same as what can be found on the government website, so I wouldn't bother with the archive list.
I haven't checked the marriage or death lists, but assume they are the same. In summary:
pre-1854, I'll use the archive list;
1854 or later, I'll use the govt searchable website.