This document from Blinry says:
"While in theory, commercially available 'deli containers' often seem very close to each other in dimension, care has to be taken to make sure that they are, in fact, lid-compatible. It can be wise to pick a single manufacturer, and stick to their products. Recommendations are listed in section 6."6. Suppliers
A reliable brand is Solo's 'PP Deli Container'. A good distributor of Solo's products is the company Monouso, which has multiple online stores in Europe, and the WebstaurantStore in the USA."
Etsy:
Amazon:
Webstaurant: