Here's a list of 7 recommended anime tv-series (in no particular order). Many of the series in this list have multiple incarnations, specials and also movies but generally I would recommend watching at least the first season. But beware, some series becomes less great after season one. Hunter x Hunter for instance has many many episodes and I personally only enjoyed the first part with the "hunter exam". One Punch Man is also great in season 1 but season 2 was a bit pointless. Also, please try to avoid the dubbed versions because a lot of character is usually lost in translation.