Well, milk in Asian tea just sounds really gross.
um... well...... hard to say.. but I'm pretty sure half of the most popular teas in China are black/red/oolong <same **** (oxidized)> so... overall, any of those teas would work fine with milk, and would taste similar..
Green tea for me is very light in flavor, and if you add milk, you'd get even less -tea-.. so in that sense I don't think milk is good for green..
ALTHOUGH,,, this is preference realm.. so there's no sense in arguing my tea can beat up your tea..
I think Tea is just a default -thing-to-do- for asians.. TBH, Sometimes I just start making tea for no reason, I'm not thirsty, it just happens..