I purchased my BDP-83 in May of 2009. About a year ago I started keeping a disc in the tray because of the sticking problem. It finally got so bad that I sent the player in for repair. It was a two-week round-trip, though Oppo turned it around in a day. I only payed for shipping to them, and I got a new Oppo shopping bag out of it.
The letter they sent with the repaired player said they repaired the loader frame and loaded the current firmware (BDP83-60-1110).
The player arrived with a blu-ray disc in the tray, "Modern Family", season 1, disc 3. I've asked them if they want it back.
I plan on keeping this player for two more years, then replacing it with a new Oppo that does 4K. My Panasonic 768p plasma will be ten years old then and due for a replacement too.