NEMA is the US standard, 5-15P is the 3 conductor 15A plug side that 90% of the appliances you can buy use, 5-15R is the wall outlet side that 90% of the walls will have. The exceptions are mostly 220/240V outlets and plugs for large air conditioners, electric dryers and such.
Very old houses will have ungrounded 2 conductor plugs; some appliances use ungrounded 2 conductor plugs that work in NEMA 5-15R.