Here is the full list of all 12 H1Z1 trophies - there are 8 bronze, 3 silver and 1 gold.
Get Top 50 in a Solo match
Get Top 10 in a Solo match
Interact with an airdrop crate in a Solo match.
Use 10 healing items on Yourself
Kill 5 Enemies that are occupying any vehicle in Solo matches
Kill 1 Enemy with an explosive barrel or exploding vehicle in a Solo match
Defeat 10 Enemies with Frag Grenades in Solos/Duos/Fives matches.
Kill 5 Enemies using the M9 Pistol in Solo matches
Destroy 25 Helmets the enemies are wearing in Solo matches
Get 25 Kills using the M40 Sniper Rifle in Solo matches
Get 100 Headshot Kills in Solo matches
Win a Solo match