The standard varies by jurisdiction, but it's quite common for "intended to cause non-lethal injury but accidentally killed the victim" to be treated as murder; this arises for example in the "eggshell skull rule".

Some states also have what is referred to as "constructive murder" whereby you can be convicted of murder if you commit a serious crime and someone dies, regardless of whether the possibility of a death was reasonably forseeable; in Canada this has been ruled unconstitutional on the grounds of lacking mens rea but in the USA courts generally accept that having the intent to commit a serious (but non-lethal) crime meets the requirement.