Though uncommon, business credit cards that do not require a personal guarantee do exist. However, there is usually a tradeoff. Instead of providing a personal guarantee, you'll usually need to link a corporate bank account with a large balance, provide proof of significant business profits, or offer business assets as collateral.
One popular option is the Brex 30 Card. To be approved for the card, you need $50,000 in your bank account if professionally invested, if not $100,000.