I myself suggested some Japanese examples which could be counted as steampunk, although I have several reservations about them myself. Mainly because when I think non-Eurocentric, I keep this in mind:
"... By Europeans, we refer not only to Europe per se, but also to the "neo-Europeans" of the Americas, Australia, and elsewhere. ... The residual traces of centuries of axiomatic European domination inform the general culture, the everyday language, and the media, engendering a fictitious sense of the innate superiority of European-derived cultures and peoples."
(Ella Shohat / Robert Stam, Unthinking Eurocentrism, pg 1)
Somewhere on the next page:
"... [Eurocentric discourse] ... renders history as a sequence of empires: Pax Romana, Pax Hispanica, Pax Britannica, Pax Americana."
Which brings me to the question: are Wild West / Weird West examples really non-Eurocentric examples?
Geographically, this may well be the case since they're not in Europe.
However, if we take into account all parties involved - the Chinese labourers, the Native Americans, the black slaves, and the descendents of Europeans (neo-Europeans), the power dynamics indicate very strongly that no matter how geographically removed America is from Europe, the power dynamics remain rested in the hands of the neo-Europeans, which renders Wild West examples that do not prominantly feature visible minorities still Eurocentric.
(Which is also why even the Japanese steampunk examples I cite may be Eurocentric after all - they tend to be Japanese interpretations of the Western steampunk aesthetic. This doesn't make them non-Japanese steampunk examples - they were produced by Japanese people. As kaigou points out, these works are part of a body of literature by members of a specific group - in this case, Japanese (and thus, not European, nor even neo-European). So, it is Japanese steampunk. But does it mean they're non-Eurocentric? Question for another day!)
Of course, detractors will disagree with me and accuse me of messing with details. But the fact remains - Eurocentrism doesn't just mean geographically centered in Europe. Eurocentrism refers not just to geopolitical space, but also to narratives, culture, and discourse. Wild West / Weird West narratives which feature neo-European main characters, narratives and discourse are, thusly Eurocentric. However, it means that a Wild West narrative which features Native American / Aboriginal culture / discourse would be non-Eurocentric.
Hmmmm..... must seek such Native American appearances in steampunk media.