LVT (Luxury Vinyl Tile), WPC (Wood Plastic Composite), and Solid Core all fall into the category of "vinyl flooring." These flooring types can be rated for floor heating, but will completely depend on the manufacturer's guidelines.
Please look in the installation manual and warranty documents of the product you're interested in to see if and what types of heating are allowed.
As for a list of manufacturers - many do provide a warranty for their products when properly installed with floor heating. The list of these is ever-changing, so please be sure to check with the flooring manufacturer for current recommendations.