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
CAST 150 POWERS
REACH AREA LVL 300
FIND 150 CHESTS
COLLECT 100 GEMS
DEFEAT 100000 ENEMIES
REACH AREA LVL 200
CAST 75 POWERS
FIND 75 CHESTS
DEFEAT DRAGONA
COLLECT 50 GEMS
COLLECT 10000000 GOLD
LEVEL UP 1000 TIMES
COLLECT 5000000 GOLD
REACH AREA LVL 100
DEFEAT DOOPA
CAST 35 POWERS
DEFEAT TOGRARO
DEFEAT SIMON
COLLECT 25 GEMS
DEFEAT BOBALOTS
REACH AREA LVL 50
CAST 15 POWERS
COLLECT 1000000 GOLD
DEFEAT GARGLOT
FIND 25 CHESTS
LEVEL UP 500 TIMES
DEFEAT BIGGASTOMP
CAST 5 POWERS
TAP 250000 TIMES
DEFEAT 10000 ENEMIES
REACH AREA LVL 25
COLLECT 10 GEMS
DEFEAT KINGURULLE
TAP 100000 TIMES
TAP 50000 TIMES
TAP 10000 TIMES
LEVEL UP 150 TIMES
DEFEAT 1000 ENEMIES
COLLECT 10000 GOLD
COLLECT 5 GEMS
DEFEAT GOGAPIK
FIND 5 CHESTS
TAP 1000 TIMES
DEFEAT TRUSKY
LEVEL UP 50 TIMES
COLLECT 1000 GOLD
DEFEAT 100 ENEMIES