Smart Moves

Open the chests with a firebomb
DLL[wait]RR[wait] DULD[wait]D RRRRR RRDDD [go open remaining chests]

Explosive curling!
RULR[wait]R DDDUL LLR[wait]RR RDDDD UUULR[wait] RDDDD DLUUU UUULR[wait] RDDDD DDLLL RRUUU UULLL R

A warrior statue can help!
LLULR URL[wait]LL DDDDD UUUUR URRDD DLLLD DDDLL LLLLL LLL [checkpoint]
ULLLU ULLLR [go open remaining chests]

The chain of firebombs
UUUUR RRRRR RRRLL LLLDD RL[wait]L[wait]L[wait]L[wait] L[wait]LUDR DDDRR RRUUU UURL[wait] [go open remaining chests]

Count your moves!
RULR[wait]U RD[wait]DDD RDDLU UULR[wait]R DDDLL LRRUU UULR[wait]R DDDDD DLUUL LLUR [go open last chest]

In the totem trap
RRRLR LLULL LDDUL DDLLL DLDDL LLDRU RUU [checkpoint]
DDRDU LUDDL DDRRU UUULR UL [checkpoint]
LLLLL DDDLL L [go around and open all chests]

Around the bull
RDDDL UUUUL LLRRL RUL [checkpoint]
RRRRD DDDDD UUULL LLDRU URRRR DDDUU ULLLR RRDDD DUDDD RRRRL LLLUU LLLUR LUUUU RRRRD DLLRR DDDDR RRRR [checkpoint]
UDLLL LLLLL URULD URRLR RUURL LLDDD DRRRR RRRRR RRRRR RRRRR RUUR [checkpoint]
UUULL [L*]R

*Before doing this L, look at the spikes on the screen. If they are all the way down, skip the L and just do the R to finish. If the spikes are up, do that L so they lower before pressing the next R to finish

Smart start
DLLUR [go around and open all chests]

Achievement Walkthrough:
Timestamps
Forest: 1:15
Tower: 5:10
Village: 9:05
Cave: 14:15
Desert: 17:45
Castle: 23:45
Ruin: 28:50
Shrine: 36:30
End: 44:00