A skipping rope is a cheap and easily accesible piece of cardio equipment. It can be stored anywhere and brought anywhere with you. Skipping burns more calories than running and improves coordination, cognitive function, strengthens leg muscles, all while burning fat.
High intensity interval training is another great form of cardio that can be done anywhere, even in your living room. It requires no equipment at all, just your body making it very easily accessible. This type of cardio burns a lot of calories in a short period of time, while also increasing your metabolic rate for hours after the exercise, resulting in more calories and fat burned. Many HIIT workouts also help with building muscle.
Mountain Climbers and Burpees
These are probably 2 of the best exercises for burning fat and are often included in HIIT workouts. They are high intensity and great for elevating your heart rate.