You can buy recyclable cups from fast food restaurants and some supermarkets/ If there is no plastic involved, that's the main thing to look for. If a cup is wholly plastic it can be recycled, but if it's only part, it can't.
Most people will dither wondering whether their cup is wholly plastic or not. It's great when places clearly label their cups as 'recyclable' so that customers know.
Since most fast food restaurants use paper, plastic or Styrofoam cups to serve their drinks, almost all fast food cups are recyclable. There may other materials used for certain cups at fast food restaurants or when they use specialty cups. However, for the most part they are recyclable. That is not to say that using certain materials for cups is good for the environment because some cups are not recycled even though they could be.
For instance, Styrofoam cups take a lot of money to make and it takes a lot of Styrofoam to make a cup. Since this material is lightweight, recycling centers generally do not make money recycling Styrofoam so they usually don’t accept it. That means, the cups go into a landfill.