GOTY of all years is out

Pretty sure you add "-" after it. Just saying (although it doesn't help with google translation).

and I can tell the difference between gyalge- and e**ge- but what's the diff between e**ge- and what you said...? (I've never heard of it before)

generally it's in terms of how much of what kind of..."content" it has.
Roughly speaking, if more than half of it is h content, then it's a nu**ge-. e**ge- is a more general term, and it can include nu**ge, but it also includes games where h content isn't as prevalent.
basically nu**ge- is defined in order to separate it from other e**ge- because of the bigger negative stigma attached to it.