Keio — has six lines in the Tokyo Metropolitan area. Two of the main lines are the Keio Line/Keio New Line linking Shinjuku and Hachioji, and the Keio Inokashira Line, linking Shibuya and Kichijoji. The Keio New Line is connected to the Toei Shinjuku Line.
https://www.keio.co.jp/english/
Odakyū — has three lines in Tokyo and Kanagawa, notably the Odawara line linking Shinjuku and Odawara. The Enoshima Line reached to Enoshima. It is connected to the Tokyo Metro Chiyoda Line.
https://www.odakyu.jp/english/transport/
Seibu — has a number of lines and branches, including the Seibu Shinjuku line, linking Shinjuku and Saitama, and the Seibu Ikebukuro Line, linking Ikebukuro and Saitama. The Seibu Ikebukuro Line is connected to the Tokyo Metro Yurakucho Line and the Fukutoshin Line, and is also directly connected to the Tokyu Toyoko Line and the Minatomirai Line via the Fukutoshin Line.
https://www.seiburailway.jp/railways/tourist/english/
Tōkyū — has seven lines in Tokyo, including the Tōyoko line, linking Shibuya and Yokohama, the Den-en-toshi Line, linking Shibuya and Yamato in Kanagawa, and connect to Tokyo Metro Hanzomon Line. The Meguro line, linking Meguro and Yokohama and connect to Tokyo metro Namboku Line. The Oimachi line connects Mioiguchi from Oimachi, the Ikegami line connects Gotanda to Kamata, and the Setagaya line connects Shimotakaido from Sangenjaya.
https://www.tokyu.co.jp/global/english/
Keikyū — has five lines in the Tokyo and Yokohama areas, including the Keikyū Main Line, linking Tokyo’s Minato Ward with Yokosuka in Kanagawa, and the Airport Line, linking Kamata with Haneda International Airport. Directly connected to the Keisei Line via the Toei Askusa Line.
https://www.haneda-tokyo-access.com/en/
Keisei — has seven lines in Tokyo and Chiba, including the Main and Narita Airport Lines linking Tokyo to Narita International airport. Directly connected to the Keikyu Line via the Toei Askusa Line.
http://www.keisei.co.jp/keisei/tetudou/skyliner/us/index.php
Tobu — has thirteen lines in and around Tokyo, including the Skytree Line which links Asakusa with Miyashiro in Saitama, and the Kameido Line, linking Hikifune and Kameido in central Tokyo.
http://www.tobu.co.jp/foreign/en/
Sotetsu — has two lines in Kanagawa, from Yokohama to Ebina or Shonandai.
There are several names used for different train services, which indicate the speed of the train (see below). Faster trains will skip some stations, so make sure the train you ride will stop at your destination. To speed up your trip, take a rapid or express train until the last stop before your destination, and then transfer to a local train.