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