They sound similar. They do completely different things.
A Consulate General (sometimes called a general consulate) is a full diplomatic office. It issues visas, renews passports, notarizes documents, and handles emergencies. This is where appointments happen.
An honorary consulate is usually one local person, often a businessperson, working part-time out of a regular office. It can help with emergencies and basic guidance. It generally cannot issue visas, process passport applications, or legalize documents.
Sources: U.S. State Department
A Consulate General handles visas and passports; an honorary consulate generally cannot, so check the office type first.
Showing up at an honorary consulate for a visa appointment means a wasted trip. Before you go anywhere, check the office type on the embassy's website. If the listing says "honorary," call first and ask what services they actually provide. For anything involving a stamp in your passport, you want the Consulate General.