Razer has introduced a game streaming device, the Ripsaw, that is meant to make streaming from PCs and consoles easier. The Ripsaw capture card rips uncompressed footage from your system in 1080p at 60 FPS and supports software like OBS and XSplit out of the box.
It connects to your console via its included component cables. The Ripsaw can work with new (Wii U, PS4, Xbox One) and old (Xbox 360, PS3) machines.
Through its included audio and mic inputs, you can also directly add your commentary to a broadcast.
For the system to work, your desktop needs an Intel Core i5-4440 or better, 4 GB of RAM (preferably 8 GB), and at least a GeForce GTX 660. If you're connecting it to a laptop, the required specs are a Core i7-4810MQ+ and a GeForce GTX 870M.
The Ripsaw costs $180 and £150.