There are Extended Validation (EV) certificates, and for a couple of years browsers gave them special treatment (typically, a green lock indicator instead of gray, sometimes accompanied by the validated business name). However, they were eventually demoted to the same appearance as ordinary Domain Validation (DV) certificates for a couple reasons:

1) This is not as useful as it sounds. Business names are not unique, and the legal entity behind a legitimate business may have a different name that no one has ever heard of.

2) Validation gets dicier as the world gets opened up and as laws and customs change. The higher tier confers greater prestige and legitimacy, but the only discriminator really backing it is money.