The End of Anubis vs Red-Eyes Zombie Necro Dragon
No, the effect will not be negated.

The critical phrase in The End of Anubis' effect here is (emphasis mine):


  that target a card(s) in the Graveyard


The only cards in the game which are defined by the game rules to inherently target are Equip Spell cards. All other cards/effects are not considered to target another card unless explicitly stated as such.

Red-Eyes Zombie Necro Dragon does not require a target for its effect; the monster is chosen at resolution without being targeted. Therefore, the effect of Necro Dragon will not be negated.