Mapme is described as 'Build smart and beautiful maps for free and without any coding required'. There are three alternatives to Mapme, not only websites but also apps for Android, iPad and iPhone. The best alternative is YourMapp. It's not free, so if you're looking for a free alternative, you could try StepMap or Scribble Maps.
YourMapp lets you turn your custom maps into an interactive app. Add hotspots to image-based maps, linking to more and information. Embed it on the web or create a branded app with features such as geolocation, offline storage and push notifications.
With StepMap you can create maps for free. You will also find countless public and free maps in the map-directory. Create your map with a few mouse-clicks. Pick a region and design, add descriptions, images and videos, edit and share it.