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