If you open an account with Gemini (large, legitimate US-based exchange) and go through their standard AML / KYC processes they will do unlimited USD wire transfers, both incoming and outgoing, for either personal or institutional accounts.

If you go through the standard AML / KYC processes at any of the other US-based exchanges the wire withdrawal limits go up significantly (hundreds of thousands) and there are similar upgrades in withdrawal limits across the major euro exchanges.