TL;DR 15A receptacles are all you need. Just get good ones.
This is already handled very well in code. With most circuit sizes, the receptacle type must exactly match the circuit size. For example, you can only have 15A receptacles on a 15A circuit. However, you are allowed to have 15A receptacles on a 20A circuit provided there are at least 2 receptacles on the circuit. That can be as little as a standard 15A duplex receptacle - while that is one "device" it counts as the 2 receptacles it actually contains when it comes to this particular rule. You can have 1 or more 20A, 2 or more 15A, or any combination of 15A and 20A.
The basic problem is a Catch-22: So many houses have had only 15A circuits/receptacles for so long that manufacturers of 120V plug-in consumer-grade appliances simply don't manufacture much that requires a 20A circuit because that would severely limit market share. And the cycle continues - people don't install 20A receptacles (since they don't have to) because they have nothing to plug into them except 15A appliances.
However, the 20A circuits are still useful. They are required for new circuits in bathrooms and kitchens and certain other places, not because of a great need for 20A appliances - we already established that's not the case - but because it allows multiple appliances without overloading circuits. Or at least with a lower chance of overloading circuits. Two examples:
- 1875W hair dryer + other stuff. On a 15A circuit that would be the limit. Which means that if you add even a little bit extra - lights, fan, electric shaver, etc. you start to go over 15A and risk problems. With a 20A circuit you have an extra 5A to work with and you are fine unless you plug in two hair dryers, or a hair dryer and curling iron, at the same time.
- 1500W space heaters. I hate these things with a passion. But sometimes they are a necessary evil, particularly if your furnace dies on a cold day. They are limited to 12A because they can run for a long time (unlike a hair dryer), which is why they are pretty much all 1500W. If you run 2 of them on a 15A circuit then that's 24A and you're going to (hopefully) trip the breaker very quickly - and if you don't then the 14 AWG wire will overheat. If you run 2 of then on a 20A circuit then you have a little breathing room. You will probably trip the breaker eventually but a few minutes of running them probably won't and it is definitely safer. (But please, if you plan to use multiple space heaters run multiple circuits.)
We've established that 15A receptacles are allowed on a 20A circuit and that they can be useful on a 20A circuit. So that just leaves the receptacles themselves. Because of this rule allowing them on a 20A circuit, they are actually designed to allow 20A to pass through the device. There really is no functional difference other than the extra slot to allow 20A plugs to fit.
If you want some extra safety, stick with 15A receptacles but go to better quality receptacles. Basically instead of the (current Home Depot pricing, but while the prices will change the concept will likely exist for a long time) $ 1.50 residential grade 15A tamper-resistant duplex receptacle, go for the $ 3.42 commercial grade 15A tamper-resistant duplex receptacle. For the extra money you get "screw to clamp" instead of "backstab", self-grounding (saves a connection if you are using metal boxes) and a much more rugged/long-lasting design.