The 1 year warranty is just standard from LG when you buy new. Anything extra are promotions offered by the store where you buy the TV who offer free 3rd party warranties on top of that standard 1 year.
So you can approach an insurer directly and take out your own warranty, or your own insurance. You can also use house-wide electric insurance that covers TVs and other appliances.
Important to note the difference in policies between warranty and insurance. Buying a 3rd party extended warranty protects you from faults that occur on the TV through no fault of your own.
Insurance is for things like accidental damage, so if the TV broke on its own, it likely won't be covered.