Red jacket Lupin first featured in the original manga artwork by Monkey Punch.
Since then, red jacket has been the most prevalent, featuring in the 1977 - 1980 TV series, many films / TV specials and even a live action film from 2014.
If you like classic anime with clever story lines but a good sense of humour, check out the second TV series Lupin III: Part II. Feel free to jump in at any episode!
For a wilder take on the series, check out The Mystery of Mamo. For a more typical style of Lupin film, try Operation: Return the Treasure or Eternal Mermaid.