I love Corelle dishes! My parents bought a set in the 1980s. When they got tired of them and wanted a new pattern, I inherited them - free dishes! After many years, I finally admitted to myself that I hated the pattern, so I gave them to my younger cousin who was still in college - free dishes for him! He ended up with a roommate who had dishes already (the same pattern!) so he gave them to his brother - free dishes for another family member! They're still being used today.
Of course, I replaced that ugly old set with a new set of Corelle in a pattern I like better. They're really thin, so they don't take up much room in a cabinet, and they're lightweight. And Corelle replaces any chipped or broken items! (If they don't have the exact item, you can choose something similar). I haven't had to do it, but my mother did once.
I love my L.L. Bean boots. I wear them almost every day in the winter because they're super warm and also completely waterproof (win!) I've had them for about 10 years and they've gotten me through a lot of snow, slush, ice, and cold. There's a warranty on them, of course, but I haven't had to use it.
Someone else mentioned old wood furniture, and I have to second that. I am currently sitting at the wood desk that my mother used as a child in the 1950s. It's gorgeous and looks great. I also have several dressers and a nightstand from the same set of furniture and they're all in fantastic condition, despite many moves to different homes.
I have my grandmother's old Kitchen Aid mixer. I have no idea what year it was from (definitely no later than the 1980s, but probably a decade or two earlier than that), but it's lasted well.
This is a great idea for a thread! After years of decluttering, I finally feel good about what I own and no longer want to buy anything new, so it really bothers me when I need to replace something that breaks (though I try to do without it when I can.) If I have to replace something, I'd love it to be with a BIFL item!