i think i'd rather called something like Zelda64 an adventure game but once again i can see you'd have to create a sub-genre.
Once upon a time the term 'adventure game' meant text based adventure games. You'd still play the game just like a modern day 'point-&-click' but just with text describing whats going on.
then a few years later these 'text-adventure' games were given new life, given graphics. and thus were born the 'graphic adventures' text was still required, but it didnt tell you what was happening, you saw it on the screen.
the only thing to change since then is the quality of the graphics and the tweaking of the game world interaction (the point-&-click). The adventure still contains graphics, it is still a graphic adventure. its an industry standard genre.
in this case of course, the point-&-click adventure would apply becuase thats what blazing dragons & shit like that is. but what would you say if someone asked you "what kind of game is space quest 1?" you couldnt say point-&-click, you couldn't say adventure, it's a graphic adventure.
kings quest 6 uses a point-&-click interface but hell it says graphic adventure in the introductory by sierra.
SPACEQUEST 1, AN ORIGINAL GRAPHIC ADVENTURE
as you can see there is a prompt in the bottom left to type comands but the world is displayed with graphics.
ANOTHER EXAMPLE