Do you realize that if I'm to take your words at face value, you just likened God of War to Golden Axe?
I don't really like your label, since games like Dynasty Warriors (which are TRUE hack-and-slashes) fit better. So I'll call God of War a "3D hack-and-slash platformer". In other words, if we're to use old-school examples, God of War is more similar to Castlevania: Bloodlines (hack-and-slash platformer) than to Golden Axe (hack-and-slash) or Sonic the Hedgehog (action platformer).
The 3D hack-and-slash platformer genre that you're tired of has actually come to surface only recently, born from the influence of games such as Sword of the Berserk on DC. Some other big influences were Soul Reaver (for the soul power) and Maken X, which when re-worked into Maken Shao for PS2, contained a lot of elements that were lifted and put directly into Onimusha, which in turn heavily influenced Devil May Cry.
The games listed above are the founding fathers of the 3D hack and slash platformer, and most of them came out after Resident Evil: Code Veronica. Also, several of them (such as Berserk and Onimusha) have clearly affected the genre's birth, but can't even be considered part of the genre themselves, as they don't incorporate the strong platforming element that games like God of War and Devil May Cry 3 are known for.
NOTE: The platforming aspects that games like DMC are known for is a significant shift in the genre from its early influences -- significant enough to redefine the genre -- and not just a new gimmick or shift in camera viewpoint. Very important to make that clear.
So without even touching what either God of War or Resident Evil 4 contributed to their respective genres, it's ridiculous to compare the age/tiredness of God of War's genre to the age/tiredness of Resident Evil 4's genre.