It's tough to know where to start, but at least you know how a cat feels playing with a couple of balls of yarn simultaneously. This is really a job for more than one nurse. You can draw straws with a couple of discarded needle caps to decide which nurse gets to do the wires and who does the tubing. Wires are usually the easiest task unless there has been an intra-operative EEG, then both tasks are about equally daunting.
Patience is the key and be sure not to yank on anything to free it up. Try to prioritize, get that arterial line and EKG wires hooked up before you free up that Foley drainage tube. That way you can watch the monitor go wild if you put too much traction on the Foley. At least you know the patient is beginning to react after anesthesia.
This problem is not unique to contemporary whippersnappern's. As this old photo from the late 1940's (that was even before my time!) shows, it requires 5 students and an instructor to untangle this ridiculous hodge-podge conglomeration of tubing and who knows what else. In my time, we would have received demerits for failing to draw the curtain. That spectator gawking in the bed to the left is probably not HIPPA compliant.
It's nice to realize that some problems in nursing remain timeless and serve as a sort of glue to spiritually unite us through time. These nurses from yesteryear are faced with the same untangling dilemma as nurses today. They might not be dealing with a line from an intracranial pressure screw, but nonetheless go about their task with the same diligence as today's nurse. The sense of caring is always present in nursing.