The outlets are not wired in "series" they are wired in "parallel"; series wiring is the old Christmas light string that goes dark when any bulb fails.. Let us assume you have 120 Volt available, and that the breaker and outlets are in good condition, you would need a load of 1,800 watts to reach the breaker's tripping point. These are rough off the top of my head calculations, AC is weird when it comes to Ohm's Law. 1.800 watts would be a very brightly lit room if illuminated by 100 watt bulbs at circuit capacity.
The purposed of a circuit breaker is protection, both load, or appliance, and the distribution system, or wiring. By protecting these two aspects, the structure is protected. If you are tripping your 15 amp- Circuit Breaker it might be that the breaker has aged (and they do age), connections have loosened (like with aluminum wire instead of copper), or maybe some corrosion has occurred at the connections. I would not arbitrarily increase the amperage of a circuit breaker. The danger would be removing the "fuse" function from the breaker, and actually making the wiring the default "fuse", which can produce dire results.
When your house was built the maximum electric loads would have been a table lamp, a clock radio, a vacuum cleaner, maybe a TV. Fortunately there are some easy and inexpensive solutions to this perceived problem. First replace the old, probably aged and poorly preforming Circuit Breaker with a new quality unit that is compatible with the panel. Then replace the outlets with quality units. I wouldn't worry about an orange or red outlet as much as I would be concerned with dissimilar metals at the connections. And, for goodness-sake use the screw terminals not the stab in connections on the outlets. At this point spending money on expensive AC cables (even if said cables are tre chic) could be better spent on the record collection. If you have the disposable income to rewire and replace the service entrance and panel for the house, or just one room,.. good for you. This is NOT a DIY job, and you should have an engineer or Master Electrician involved, be clear about what you want, and obtain the proper permits. The National Electrical Code (NEC) is all about FIRE PREVENTION, really, no kidding.