I am confused on what the two are. I know the concept is working out without equipment in a high intensity fashion, but more than that, I am lost.
Freeletics is basically CrossFit for the bodyweight exercises. It doesn't have as big of a following, but Freeletics originated in Germany. Instead of it being a lifestyle as CF is, the program is for generally 15 weeks of hard exercises. If you get the Coach, it will tell you what to do throughout the week. If not and you want all the exercises, I recommend buying the Freeletics Pro app, which is about 5 bucks. Well worth it, since you can work out anywhere and not have to pay the expensive gym fees that CF is known for.
Both systems propose high-intensity workouts targeting all aspects of phyical fitness. The differences are more in the business model.
So, if you have the money and need the extrinsical motivation of a gym and trainers, Crossfit may be your thing. If you require independence and low cost, Freeletics can work for you.