sqlite is really only appropriate for things like mobile or desktop applications or things with generally low concurrency requirements.
I think what you mean here is low concurrent write requirements.
(Edit in response to below: Isn't sqlite file oriented and read-only opens eschew locking? Thus replication via network filesystems should be adequate, no?)
Yes, agreed, if we are talking about straight concurrency only.
Other things like replication, are also not there, so it's not what I would choose for a website database, but if you can serve all your reads from one server, and don't care about high availability, then go for it.