There really aren't many of them, but several of them do exist. However, if you're looking for a stable inner stripe with a clean delineation between the the variegation and green, you're out of luck. The ones that have a clean distinct stripe down the middle are usually not stable and the stripes can become random in new growths. The ones that have a stable inner stripe tend to have a hazy or blurry transition between the green and variegation....
To add to the information s.kallima listed:
Akebono 曙 - The inner variegation is usually stable, but I've found that the division between the green and variegated parts are hazy. The pale inside is also usually greenish.
Ooemaru-Nakafu 大江丸中斑 - The inner stripe variation of an Ooemaru-shima. As with inner stripe variations of normally random striped plants, the variegation isn't stable.
Okinashishi 翁獅子 - Mutation of Naniwashishi with inner stripe. Has the same haziness as Akebono but with a contorted leaf form. (this is the same as the okinasisi that s.kallima mentioned)
Ootori 鳳
Oborozuki 朧月
Kinkou-Nakafu 金広中斑 - Inner stripe variation of Kinkou-nishiki. Unstable
Kinginhou 金銀宝
Kokkouden 国光殿 - This one is more often classified as Navy Fukurin, but I guess it could be considered a lighter green inner stripe
Shinkyoku 神曲
Shindai 神代 - Inner stripe mutation of Kinkabuto
Fuji-nakafu 富士中斑 - Fuji-nishiki inner stripe variation
Houkuuden 宝宮殿
Mikado 帝 - Another variation of Ooemaru-shima
Manazuru 真鶴 - Inner stripe mutation of Nishidemiyako
---------- Post added at 02:25 AM ---------- Previous post was at 02:10 AM ----------
How could I forget!
One of the most desirable of Fuukiran. It's ranked lower on the charts than Fuukiden, but it commonly sells for 5-10 times the price. It's an extremely slow grower and doesn't really like to clump very quickly contributing to its rarity.
Higuma 羆
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This one is also usually classified as a Navy-Fukurin, but in really nice specimens, the inner stripe is very clear.
The interesting this about the Higuma is that it has green outer margins, and the inside stripe is actually tiger stripe variegation. So the inner stripe usually isn't a clean uniform streak, but rather the mottled color of a tiger stripe plant.