One problem related to noises during shifting has been reported for the 1996 Mazda 626. The most recently reported issues are listed below.
Transmission initially shifted roughly then revved during shifting 3-4, then a loud bang during braking quickly, this progressed to lurching forward after braking, then popping noises in low gear when accelerating from stop or at speeds less than 40 mph. An independent transmission repair shop said that chain inside trans is slipping off sprockets - repair estimated at $950-1150. Have appointment with dealership to get an estimate on transmission work. The engine check comes on and stays on for weeks at a time. This initially started at about 1000 miles and has continued to occur. Dealership has made repairs and adjustments under new vehicle warranty, and according to recall advisements and each time says that should fix it, but it continues even today. The vehicle is now out of warranty.