Agree with bingo and I'll add 2 things

You can download an app called easy taxi and order a taxi through there so everything is registered. The app will show you a pic of the driver and his plate number. I don't personally use it but a friend does and the taxis always arrive within a couple minutes and normally won't cost more than 2-3 soles extra.

If I get a taxi off the street for a visiting friend/family member going to the airport, I let the driver see me taking a pic of the plate with my phone. I do it sometimes too late at night if a girl is getting into a taxi solo.

Occasionally there is a problem with lima taxis, but its not that common and the danger is exaggerated.