How did you know which car wires were for which function? It sounds like you are using a running light wire or a dash light wire for the new radio's ground wire. Typically, original radios have a running light/tail light wire to tell the display to dim when the lights are turned on, and a dash light wire to tell the display how much to dim. Aftermarket radios do not use those wires.
When a lamp wire is used as the radio's ground wire, the radio might work intermittently by getting grounded through all the tail light bulbs, but that cannot happen when the lights are turned on. That puts twelve volts on the radio's ground wire. The radio is also grounded, (poorly) through the antenna cable. That will create a short circuit for the tail lights and cause that fuse to blow.
If the dash light wire is used as the radio's ground wire, the radio gets grounded through the multiple dash bulbs and any others on that circuit. Whether it works or not depends on where you set the dash dimmer control. Most cars by the mid 1990's used "pulse-width dimming" for their dash lights which means they turn on and off at between 400 to 15,000 times per second. The ratio of off-time to on-time is varied to adjust the brightness. If that wire is used for the radio's ground, you might hear buzzing in the speaker, but eventually the dimmer control or the radio will be damaged.
One quick test is to unplug the antenna cable. If anything changes, the radio is not grounded properly.
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Monday, August 7th, 2017 AT 2:12 AM