Splashtop is the new LogMeIn.... which I remember utilizing before they had an internet version! I was so happy with the LogMeIn product until they went full nuclear with their billing structure... I suppose that's what happens when you get the big name clients.... they crushed the small business users. Splashtop has been an excellent replacement.
Though internally, I've gone back to VNC. Loved it when it was out originally and TightVNC is an excellent (and a bit more secure) fork. Easy access and easy to use... does the job when I have that support call from the employee down the hall and I don't feel like getting up from my desk. Though it does work well when I need to connect to one of my other locations as well (across our VPN of course).