You can do this on two levels:
A community page or two
For most churches creating a community page is easily within their grasp. It won't draw in the larger numbers of a community site, but it won't take the level of resources required to set up and manage a community site. A community page should contain useful information about local events, shops, restaurants, parks, leisure centres, gyms etc. You may want to provide reviews of some of the facilities. Where possible provide links to the websites for all the services you mention (make the links open in a new window – sites made with Church123 do this by default for external links). It is also useful to provide phone numbers and addresses. When visitors use search engines to find information on these services in their towns they may well come to your site. They'll be pleased you are providing this information for the community – and, whilst there, some visitors will browse through your site finding out how great your church is!
Full community site
With a community site you take the concept of community pages much further. Not only do you try and find a wide collection of relevant topics to include but you need to try and engage people on them. You can use the site to set up interest and support groups and help build online friendships, e.g. car maintenance, pets, asthma etc. These sorts of sites require two way communications and you may wish to find out about running services such as chat rooms, forums and email lists. Certainly only consider running a full community portal if you are willing to invest in it, with it becoming part of your long-term outreach and evangelism strategy – the potential rewards are great but the initial costs can be high too.
A word to the wise: It is far better to create a smaller church website (say 7-10 pages) of good content then to try and make a community site that falls flat. If you have information about community items then local people will find it. If when they get to your site everything is out of date then it will reflect badly on your church. Before deciding to go for a community site make sure your whole church is backing (and praying) for this strategy.