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