The biggest difference is probably not the camera body. Two APS-C cameras like these won’t create a dramatic gap by themselves.

What stands out most is subject emphasis: in the stronger photo, the animal is the brightest, clearest part of the frame, while in yours the brighter background pulls attention away from the gorilla. Composition also helps a lot: the leopard image includes the full subject more intentionally, with background elements and depth of field supporting it rather than competing with it.

Lens and focus can matter too. A better lens, cleaner rendering, and reliable focus can improve sharpness and subject separation, especially for animal portraits.

Post-processing is also part of the look. The leopard image likely benefits from more controlled tonal shaping and color grading: lifting deep blacks a bit, avoiding over-saturation, and sharpening selectively can give a more cinematic result.

So the priority order is roughly: lighting/subject-background separation and composition first, then lens/focus performance, then editing. To improve your results, try to place the animal against a darker or less distracting background, keep the whole subject or a deliberate crop, expose so the subject is the visual focus, and use restrained color and contrast adjustments.