Trade volume is something you should be looking at when choosing a platfrom to trade (beware of fake exchanges with fake volumes!).To get a list of exchanges, try going to coinmarketcap. There is a tab that lists top 100 exchanges according to the volume. Currently binance and Huobi is at the top. I do use Binance and faced no problem with it. They have a good number of coin listing and the limit for non verified user is high enough for a casual trader.