Faith Connector is one of the oldest players in the field of church website builders, starting back in 1999. The pricing seems competitive but at a closer looks the plans are not much different from the bigger players on the list. The cheapest plan is $18 per month for a very basic site (basically just pages, no forms, media, emails, etc).
For $45 / month you start to see the good stuff, with 100Gb of storage for your sermons, videos and pictures a member management system, calendar and more. You also get free content migration from your old website.
For a setup fee of $250 you can get your designed personalized. (the cheapest plan only allows for colors and fonts to be changed, this presumably offers you more customization options)
Apple and Android apps are also on offer for the $45 and $70 plans.
There's no free tier but a demo account is available, including the admin side, which you can use to see all the available features in action.