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