This article demonstrates how to create a map, where you can click on any feature and get info about it. This can be done with MapTiler Cloud. However, there is a need to do extra steps in the viewer you are using for displaying maps.
Upload your data to MapTiler Cloud
First, you need to upload the vector data you want to display to MapTiler Cloud. You can either upload data via a web browser or process them using MapTiler Desktop and upload it to MapTiler Cloud from inside of the software.
Note: it is possible to display information only with vector tiles (because there is no information in raster tiles, they are just images)!
MapLibre GL JS
The easiest way of displaying information contained in the underlying feature is using the MapLibre GL JS library. Here is an example of how to extract information from the visible features under the mouse pointer when using Maplibre-gl-js.
The component used in the style editor is called Mapbox-gl-inspect and it is open-source as well. For more details, visit the project's GitHub repository.
The same trick is possible to achieve using OpenLayers. See this example of feature picking, which can be made to do the same job with just a small modification (changing click to hover + adding a popup with details).