If you beat an undisclosed lap time, you will be sent a Unicorn Car when the event closes. I know from personal experience that some of these events can be tough to beat but trust me, they’re worth it. The rivals mode events that unlock Unicorn Cars are almost always in the Community Monthly section of rivals mode. If you played Forza Motorsport 3 then you’ll already have some unicorn cars in your Forza Motorsport 4 garage. That is, if you imported your career file from Forza Motorsport 3. You’d be surprised at how many people forget to do this and miss out on awesome Unicorn Cars like the Lamborghini Gallardo Superleggera and the Ferrari 430 Scuderia.
If you got into the Forza Motorsport series with Forza Motorsport 4 then I suggest you go back to Forza Motorsport 3 and buy as many cars as you can so that you can import them into Forza Motorsport 4. The reason why I suggest doing this is because many of the cars that you can buy in Forza Motorsport 3 are locked as Unicorn Cars in Forza Motorsport 4.