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 75 POWERS
FIND 300 CHESTS
REACH AREA LVL 300
CAST 35 POWERS
COLLECT 100 GEMS
FIND 150 CHESTS
REACH AREA LVL 200
COLLECT 10000000 GOLD
CAST 15 POWERS
DEFEAT 10000 ENEMIES
COLLECT 5000000 GOLD
CAST 5 POWERS
COLLECT 50 GEMS
FIND 75 CHESTS
LEVEL UP 1000 TIMES
DEFEAT DRAGONA
COLLECT 1000000 GOLD
REACH AREA LVL 100
COLLECT 25 GEMS
DEFEAT DOOPA
DEFEAT TOGRARO
DEFEAT SIMON
DEFEAT BOBALOTS
REACH AREA LVL 50
FIND 25 CHESTS
COLLECT 10 GEMS
DEFEAT GARGLOT
LEVEL UP 500 TIMES
DEFEAT BIGGASTOMP
DEFEAT 1000 ENEMIES
COLLECT 5 GEMS
REACH AREA LVL 25
TAP 1000 TIMES
DEFEAT KINGURULLE
COLLECT 10000 GOLD
LEVEL UP 150 TIMES
DEFEAT GOGAPIK
FIND 5 CHESTS
COLLECT 1000 GOLD
DEFEAT 100 ENEMIES
LEVEL UP 50 TIMES
DEFEAT TRUSKY
DEFEAT 100000 ENEMIES
DEFEAT 1000000 ENEMIES
LEVEL UP 5000 TIMES
TAP 10000 TIMES
TAP 50000 TIMES
TAP 100000 TIMES
TAP 250000 TIMES
CAST 150 POWERS