The most reliable way to play the exact 16-bit console version is by using a dedicated Genesis/Mega Drive emulator from the Google Play Store.

Most emulators let you resize the on-screen buttons. Move the D-pad to the bottom left and the A/B/C buttons to the bottom right for a comfortable grip.

Fire up your emulator, load E-SWAT, and type the classic cheat code (on Genesis: Up, Down, Left, Right, A, Start) to test your skills. The city needs you, Officer.