I think there's something called Rent the Runway that offers this, for women. Then there's Stitch Fix, which is basically a kinda-sorta personal shopper who will pick things out for you (but within a very restricted set of vendors and price points).
That seems to be picking out clothes for you to buy?
Rental expensive formal clothes for special occasions is obviously a thing. But as with many other things, the overhead of renting stuff for day to day use just doesn't work for most cases.