I have an old one, maybe they were manufactured differently. The main part is a hard plastic. I never noticed a plastic taste, but it could also be the rubber/silicone plunger stopper that imparts a taste. They do now sell a glass one, but I've heard that it's overpriced.

I know people who also swear by their French press. From what I know, regardless of the brew method, the grind is the most important factor, followed by the water quality and temperature.

Is it an authentic aeropress, not a cheap knockoff? There are a bunch that sell under the same name but aren't in fact manufactured by aeropress ltd., and those can taste off since the cheap plastic is not certified for use with boiling water, and might not even be bpa free.