Definitely not burning it, but pyrolysis has been suggested (basically "burn" it in an oxygen-free environment).
The plastics are heated to about 500 °C in the absence of oxygen. The longer molecules break into liquid fractions like naphtha and diesel, solid cuts like waxes, and lower-molecular-weight gases. In most plants, roughly 10% of the product is char, a by-product.
It's not without its drawbacks. Some gases are produced, and those are either burned to (partially?) power the pyrolysis process or are flared off. About 10% is reduced to char and would have to be disposed of conventionally (unsure of the environmental impact of that).
I don't have time right now to dive deep into the topic (just throwing off what I do know plus a link that explains it), but it's possible it's less harmful overall than just throwing it in a landfill forever. (Assuming the input energy for the reaction chamber comes from clean sources.)
Plus burning it allows those toxins to disperse across the environment while more traditional recycling can keep the toxins mostly concentrated on landfill/processing sites.
The post was not clear to me that OP was talking about incineration facilities, I know several people who burn plastics and garbage frequently on their own property/camping. Even well filtered incinerators have a considerable amount of fallout.