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