Just a couple of easy death metal songs off the top of my head are Corporal Jigsore Quandary - Carcass and Hammer Smashed Face - Cannibal Corpse (not my favourite band but it is a commonly known death metal song).
Some easy songs of other metal genres are:
Mayhem - Funeral Fog, Deathcrush, Chainsaw Gutsf*ck and Pure F*cking Armageddon
Strapping Young Lad - Consequence
Pantera - Walk, F*cking Hostile, 5 Minutes Alone... many others
Slayer - South Of Heaven, Raining Blood, Dead Skin Mask and Disiple
Your main consern with these songs would be learning to tremolo pick (not very difficult) and artificial harmonics (can be a bit tricky at first but are good to learnt because they are used quite often in metal songs)
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