Only 9% of all plastics ever produced has been recycled. 100% is impossible due to the various composite materials that exist.
Landfills don't work in many places in the world due to lack of space and are expensive, hard to manage and come with methane emissions. Burning is obviously the same as burning fossil fuels and cannot happen if we want to keep our planet habitable. It also happens almost always in poor communities that suffer health consequences because of it.
Even if the disposal was somehow magically solved, we still have the problem with production. Plastics are a lifeline to the fossil fuel industry and are expected to account for more than a third of the growth in world oil demand to 2030. Cracker plants for plastics production are also usually placed near communities of colour or in developing countries and create toxic conditions for life around them.
Plastics are a problem. Regardless of the disposal.