When comparing Neocities vs Bitbucket Pages, the Slant community recommends Neocities for most people. In the question“What are the best website hosting providers?” Neocities is ranked 7th while Bitbucket Pages is ranked 9th. The most important reason people chose Neocities is:
Neocities has a free tier which provides hosting for up to 1GB of space and tools for website building.
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Pros
Pro Free tier
Neocities has a free tier which provides hosting for up to 1GB of space and tools for website building.
Pro Easy to use drag and drop interface
Neocities uses a drag and drop interface to upload files on their server. This makes it arguably the best option for beginners for it's ease of use.
Pro Lively community
Neocities also has a social aspect allowing for discovery of your site and interaction with and learning from others.
Pro Free private repositories
BitBucket allows users to have free private repositories as long as it's a team smaller than 5 that is working on a project. In other words, BitBucket charges per team member and not per repository member. This feature may make BitBucket, even BitBucket pages better than for example GitHub for some, since the static page's source code won't be open source, but it can still be viewed on the browser, so for static page hosting per se it is not a big deal.
Pro Multiple authentication methods
BitBucket supports GitHub, Twitter, Facebook, OpenID, Google and even GitHub authentication.
Cons
Con Custom domains not free
User must sign up for paid plan ($5/mo) to use their own domain.
Con Supports a limited selection of file types
Neocities only supports a limited number of file types. So for types not supported, third party services need to be used.
Con No SFTP support
Neocities has no SFTP support. In stead it uses a drag and drop web based interface, which is a nice tradeoff for beginners. It's not very useful for more advanced users though.