In the US, only crimes that involve death or crimes against the state can be punished with death, see Kennedy v. Louisiana, 554 U.S. 407 (this was a child rape case and execution was held to be unconstitutional). There is a consideration of "proportionality" whereby execution is not an option for all crimes involving death. The court doesn't include or exclude non-death cases, they explicitly kick the can down the road ("We do not address, for example, crimes defining and punishing treason, espionage, terrorism, and drug kingpin activity, which are offenses against the State"). Therefore, there is no ruling that bars execution for treason, but there is for rape and burning someone's stack of hundreds.
This is a list of 2008 pre-Kennedy non-murder "surviving" state capital offenses (most of the cases listed in the article are for rape, which was ruled unconstitutional):
Treason (Arkansas, Calif., Colorado, Georgia, Illinois, Louisiana,
Mississippi, Missouri, Washington)
Aggravated kidnapping (Co., Idaho, Il., Missouri, Mont.)
Drug trafficking (Fl., Missouri)
Aircraft hijacking (Ga., Mo.)
Placing a bomb near a bus terminal (Mo.)
Espionage (New Mexico)
Aggravated assault by incarcerated, persistent felons, or murderers
However, in Washington the death penalty is now unconstititional. The Missouri penalty for treason has been since reduced to a maximum of life imprisonment. On the other hand, Florida still has a "capital drug trafficking" penalty if you import
300+ kg of cocaine, knowing that "the probable result of such importation would be the death of any person" (death does not have to actually result).
Here is a list of federal crimes that allow execution, which includes only large-scale drug trafficking, espionage and treason in the non-death crimes.