How do you remove the stickiness from reusable plastic container or lid?
When I get this, it's almost always old grease that didn't get washed off properly in the first place. We have some newer storage containers that are, for some reason, really strongly attractive to grease and have to be washed very carefully with lots of detergent or they're sticky next time we go to use them.

My usual solution is to rub the whole thing with undiluted dishwashing liquid and let it sit a minute or two. Then I rub/rinse with the hottest water I can stand until it's all squeaky clean. This usually works.

If your grease is several layers deep or really old, you might have to resort to a grease cutter like Formula 409 or one of the citrus-based degreasers, followed up with plenty of detergent. I would not use solvent any stronger than a commercial cleaning spray because of the risk of damaging the plastic. I also would not scour the plastic. The scratching will make it exponentially harder to get all the way clean, and the deepest scratches can harbor bacteria (ask any home brewer who scoured his brew bucket how much it increases the risk of infection).