Another good option is NameSnack, which will generate more than 100 short and brandable business names for free. It also offers instant domain search, keyword search and different name styles for different industries. It doesn't check names against trademark databases, but it's a good way to get a quick list of business names that are memorable. It also offers a logo design service and is supported by advertising and commissions on domain name registration.
Namify is another good option, a more powerful tool that offers more than 1,000 unique business name options that are checked for domain, social media username and trademark availability. It offers free logo options with the purchase of some domain names and supports new, specialty domain extensions. It's good for entrepreneurs and startups who need to get a professional brand up and running fast.
If you want a more full-featured service, you might want to try SmartyNames. This AI-powered tool will generate business names with domain availability and supports multiple top-level domains. It offers instant business name generation, domain name checks and premium domain sales, with different pricing levels depending on your needs. It can help you find creative and affordable domain names.