Here is the full list of all 50 Tap Heroes achievements. It takes around 200 hours to unlock all of the achievements on Windows.
LEVEL UP 5000 TIMES
DEFEAT 1000000 ENEMIES
FIND 300 CHESTS
DEFEAT 100000 ENEMIES
REACH AREA LVL 300
COLLECT 100 GEMS
FIND 150 CHESTS
REACH AREA LVL 200
COLLECT 10000000 GOLD
DEFEAT 10000 ENEMIES
CAST 150 POWERS
COLLECT 5000000 GOLD
LEVEL UP 1000 TIMES
COLLECT 50 GEMS
COLLECT 1000000 GOLD
FIND 75 CHESTS
CAST 75 POWERS
DEFEAT DRAGONA
LEVEL UP 500 TIMES
REACH AREA LVL 100
DEFEAT DOOPA
TAP 250000 TIMES
COLLECT 25 GEMS
DEFEAT TOGRARO
CAST 35 POWERS
DEFEAT SIMON
DEFEAT BOBALOTS
DEFEAT 1000 ENEMIES
CAST 15 POWERS
TAP 100000 TIMES
REACH AREA LVL 50
DEFEAT GARGLOT
TAP 50000 TIMES
CAST 5 POWERS
FIND 25 CHESTS
COLLECT 10 GEMS
DEFEAT BIGGASTOMP
TAP 10000 TIMES
COLLECT 10000 GOLD
LEVEL UP 150 TIMES
REACH AREA LVL 25
DEFEAT KINGURULLE
COLLECT 5 GEMS
DEFEAT 100 ENEMIES
COLLECT 1000 GOLD
DEFEAT GOGAPIK
LEVEL UP 50 TIMES
TAP 1000 TIMES
FIND 5 CHESTS
DEFEAT TRUSKY