Here is the full list of all 11 Auto Chess trophies - there are 5 bronze, 5 silver and 1 gold.
Reach Top1 once in Solo mode.
Reach Top1 once in Duo mode.
Play 10 games in Ranked mode
Be on a Winning Streak of 5 in 10 games (Casual & Ranked Mode)
Get 100 Items (Casual & Ranked Mode)
Reach Top3 20 times(Casual & Ranked Mode)
Get 180 Items by combination(Casual & Ranked Mode)
Acquire 500 pieces by ranking-up in games (Casual & Ranked Mode)
Purchase 100 Legendary pieces in total (Casual & Ranked Mode)
Consume 10000 Gold in total (Casual & Ranked Mode)
Your character reaches Lv.15