I think this is the best forum to ask these so..... What are these called and....... Can I buy one of these online like in Alibaba.com or something?
At least the TXC Corporation (Taiwan) that have made Famicom clones also made something like that. I think they just port it. The game itself might be more old and popular there.
Armorant's video lead me to this, and then this - the last paragraph, as well as the reference link, is what you want. Seems like it's an original Taiwanese game called Xiao Mali (小瑪莉). Unfortunately the exporter of these machines mentioned in that reference link seems to have gone out of business around 2011-12 (because that would've been just too easy, wouldn't it?), but at least it's a starting point. I wasn't aware Mario (Fario?) was a FORTRAN developer...
So far it seems they are just called 小瑪莉 (Xiao Mali)... The closest I can think of is that it is just a different layout of a slot machine. Here is an article on HG101 also: http://www.hardcoregaming101.net/kusoge/kusoge-tvmario.htm