(at around 1 min) When Bernie is on the phone with Lloyd, there's an Apple Macbook Pro (Second Generation) in front of him. The Second Generation Macbook Pro didn't come out until late 2008 and the murder took place in 1998.
When Bernie is driving up to Mrs. Nugent's home, there is a close-up of the Texas State Registration sticker on the front windshield of the car which clearly says "12, 11" indicating that the registration will expire in December of 2011.
When Bernie performs obituaries at a local radio station, the record player on the table is without a cartridge or stylus attached, yet a record is on the platter. Without a cartridge, there would be no way to play a record.
The goof item below may give away important plot points.
After the sheriff and Mrs. Nugent's granddaughter pick the lock to the front door to get access to Mrs. Nugent's house to search the house, one of the searchers goes out through an unlocked glass door to the patio. If they really had been locked out of the house the patio door would have been locked also.