Akira generally looks mostly indistinguishable from other Akiras, except for the glaringly obvious change in school. He's wearing Akechi's school uniform, and the briefcase is even the same (A. for Akira; A for Arsène). His sense of fashion when going out casually tends to be pretty similar as well, except that his clothes are all very high-end.
In the Metaverse, he is Joker. In Sae's palace, he looked and acted much like canon Joker, except that he was following Crow's lead, instead of the other way around. In fact, very rarely will anyone see him in his Black Mask form; even on Shido's ship and beyond he stuck in the Joker attire most of the time. He... really doesn't
like the other outfit.
The other outfit looks much like
Akechi's beta Black Mask design, except instead of the mask being a smiling face, it's a bandana, making the entire ensemble resemble a highwayman who's on hard times rather than a dashing gentleman thief. The distinction is small, but to him it's
massive. When someone sees him coming dressed like that, it's "stand and deliver, your money or your life" and there are rarely any in-betweens. They'll also hear him coming before they ever see him; hidden under that cloak, attached to his clothes and shoes, are various chains that make him sound eerily like the Reaper when he moves. Part of that might well be because he associates himself with death, and this costume is a symbol more of how he's being debased into a common thief and assassin than the rebellious spy that he wanted to be.