The 3806 has Audessey which can automatically calibrate your speakers for you. I believe it was the first model with Multi-EQ XT, which allows you to take readings from multiple seating positions to create a more balanced calibration.
Main in/out and tape loop don't exist on too many devices these days because they're sort of not really needed for home theater with current technology. You are likely to find them on stereo receivers and integrated amps though, which are often more analog and don't typically have auto-calibration.