Sazae-San is known to be one of the longest running anime series. This has already reached over 9000 episodes so people who are just starting to check out this anime series will be very happy to check this out. It will probably take years before they can catch up with the recent ones. There are some anime shows that will have 20-minute episodes for each show such as Mukashi Banashi.
This is the longest-running anime television show right now. You would find yourself watching the various episodes for days. It will take months of non-stop watching before you can reach the recent episode. The success of the anime series will usually depend on how long it has been running.
The longest running anime show of all time is technically Sazae-san. Sazae-san has over 7,000 episodes but they only last for 6 minutes per episode. For the longest running anime show of all time which are normal 20 or so minutes long and that has been running unbroken (meaning no breaks or "hiatus" from the anime show) then the answer is One Piece.
Sazae-san started October 5th, 1969 and it is currently in production today. One Piece which began October 20, 1999 and has over 700 episodes which are the normal length and has aired new episodes regularly since then.