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I play this one: [link]
The interface is in English. A few things are translated a little bit weirdly but I've not come across anything that gave me a problem.
My game of choice for mobile is Maujong for Android.
The game isn't that flashy graphically, but I like the controls for the interface. The AI is reasonable, without feeling like it just cheats when it needs to, and I like the fact that I can customise the ruleset if I want to play something a little bit different or practice certain rulesets. Also it's in English so I don't feel like I'm missing out half the features by the fact I don't understand Japanese brilliantly.
I believe I'm using the English version of the one you are talking about. It is just called "Maujong" by Ishihata industry. Here is the the link for Android.
One good thing about it is that it is easy on the battery.
So far, I’ve played in Maujong, Tenhou, and Mahjong VirtualTENHO-G! The closest example I know that allows you to make Chombo is Maujong on Android. In Maujong, if you go to Settings → Guide → Off , it lets you make Chombo/mistakes such as:
But the app doesn’t let you call Chii/Pung/Kan randomly like real life. It still have restrictions. It still counts the points automatically. In the Japanese Language mode of Maujong, the app lists all the Fu in addition to Han. Unfortunately, in the English mode only list the Han (for reasons unknown).
On declaring scores manually, that would be an interesting idea. This imaginary app could give an option for the user to count their own score, and then compare it with the real score. As a beginner, I would be interested in such app.
i prefer maujong. it has a lot of customizable settings and you can set two custom rule sets. the main menu UI kind of sucks but the in game UI is fairly standard (everyone is seated where they are supposed to, as opposed to kemono mahjong) and is not a shitty attempt at 3d.
For riichi I quite like this one: [link]
The AI is okay, you can play with customised rulesets (and the number of options is pretty huge), it's mostly in English (messing around with the advanced settings might require some knowledge or googling of japanese terms, but the main game is English), and it's free.
Graphically it's not as flashy as others I've seen but for a free app it's functional and pretty good.
Typically I play this: [link]
Decent interface in-game, loads of flexibility to customise rulesets, and a decent balance of AI from not so good to reasonably good.
this one is actual mahjong, I play all the time: [link]
I play Maujong personally.