Any camera that shoots video can technically be used to create a vlog (which is short for video blog), but if you want the most control and highest-quality results, my pick for the best vlogging camera is the Panasonic Lumix GH5.
The GH5 has all the requisite features of a good vlog camera, including headphone and microphone ports, a fully articulating screen, face and eye-detection autofocus, and in-body image stabilization to keep those walk-and-talk shots steady. Experience suggests testing DSLRs, mirrorless cameras, and even professional cinema cameras, the GH5 has proven to be one of the best video cameras, period.
However, it’s not the cheapest nor the smallest, and there may be a better vlogging camera for your needs, shooting style, and budget.