Annoyed that LogMeIn's remote access service is no longer free? Be annoyed no more. I've got five free alternatives that do everything LogMeIn does, and more.
This great piece of remote-control software, free for personal use, lets you control a PC from another PC over the Internet, and also from an Android device, iPhone or iPad. In my tests, it was faster and smoother than LogMeIn. It does a lot beyond remote control, such as copying files and folders between the remote PC and a local device.
This free add-in for the Chrome browser or for Chromebooks is cross-platform, which means you'll be able to control any computer from any other computer, as long as both use a Chrome browser. That means PCs, Macs, Linux devices, and Chromebooks. It's surprisingly easy to use -- in my experience it worked without a hitch.
This free remote-control tool is built directly into Windows, and how you access and use it depends upon what version of Windows you have. It only works from PC to PC, and isn't particularly easy to set up. But once you've set it up, it works like a charm. There's also a Windows 8 app for it.
This lets you remotely control a PC or Mac from pretty much any other device, including not just PCs and Macs, but mobile devices as well. It's free for personal use, and has lots of extras beyond remote control, such as a whiteboard.
This cross-platform tools lets you control a PC, Mac, or Linux device from another one, and also lets you control any PC from an iOS or Android device. It's not necesssarily the easiest of the bunch to use, but it does the job.