If you cannot point to something directly and state, "This is broke, fix it.", there's not much you are going to be able to do to utilize your warranty. You need to realize the warranty is put in place by the manufacturer to provide "peace of mind" to the consumer. It is there as a catch all in case something does go wrong with the vehicle. This gives the consumer some bit of protection for as long as the warranty is in effect. Really, the manufacturer is using it mainly to sell their vehicles. When they offer such a warranty, they have a believe their product longevity will exceed the amount of time the warranty is in effect. Without it, they wouldn't sell as many vehicles, so it's a bit of a trade-off for them.
Again, if there's nothing wrong you can point at, there's not much you're going to get out of it. Consider yourself lucky in that it sounds as though you've not had too many issues with your vehicle. Keep up on your maintenance and you should expect it to last the 5+ years you're hoping to get out of it. Nothing mechanical will last forever, but you can definitely prolong their life by keeping up with the maintenance.