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