When connected to wifi this app displays your IP, SSID, BSSID, MAC address, etc. It doesn't do anything else! It was coded for a personal project and isn't pretty or functional beyond what is mentioned.
Arthur Schrijver is the creator of the app which is related to the Tools category. Wifi IP, SSID, BSSID, MAC, etc has been downloaded and set up by over 10K users and the latest release is dated Dec 17, 2015. Users rated this application 3.2 on Google Play.
Get the setup package of Wifi IP, SSID, BSSID, MAC, etc 1.1 free of charge and have a look at users' reviews on Droid Informer. The app runs on Android devices 4.0.3 and higher. This download is totally secure.