Unfortunately, for Minecraft Java Edition, there are no skins that will automatically incorporate a cape. However, in Bedrock Edition, there are some skin packs that come with capes included.

Own Bedrock and Java Editions The players owning both the Bedrock and Java editions before June 6th, 2022, received Vanilla Cape as part of the thank-you gift from Mojang.

The players owning both the Bedrock and Java editions before June 6th, 2022, received Vanilla Cape as part of the thank-you gift from Mojang. The Cape is available in both versions of the game.