The mess at left may not actually be so bad, but it could have been neater. Your electrical service, from the rooftop attachment (weatherhead) to the bottom of the breaker (or fuse) panel, is a critical and expensive part of your house infrastructure. It isn’t beautiful, but it’s important.
Keeping this system clean, dry and free of rust is worth paying some attention to. Ensuring that the service is grounded, either to a buried water pipe or to driven rods, is vital to your safety.
If you have an old fuse panel, do not despair. Fuses are in disfavor with inspectors and insurance companies, but fuses are not intrinsically inferior to breakers. They do tend to be older and more liable to fail, though.
Here’s a link to a site that gives the dope on panels, grounding, meters and upgrades. Please take a look and cast a critical eye on that grey box outside your house, along with any suspicious wiring. If you see anything you don’t like, take a photo and send me a comment.