Welcome to the Bunnings Workshop community. It's wonderful to have you join us, and thank you for sharing your question about varnish removal.
There are two methods to remove the varnish on your table. Use an Orbital Sander in conjunction with 180 grit sandpaper. The other method is to use Bondall 1L Water-based Paint & Varnish Stripper. Both methods will be messy as the sander will emit a lot of sawdust and the varnish stripper will create a lot of stripped varnish gel. Several applications may be necessary to remove all the varnish. Unfortunately, you will still need to sand the timber to remove the reddy stain that's on it.
I'm currently restoring a beautiful french provincial style table and it is taking a while due to the hidden curves and corners of the table. My number one piece of advice for your project is to be patient with the preparation process. It will take a while to remove all the stain on the television unit, but once it's ready, it will pay off as you'll get the finish that you're after.
Please keep us updated with your progress, we look forward to seeing the start of your TV unit restoration.