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