Next is a yaku worth 2 han which does not have kuisagari applied, "honroutou". This is a yaku where your mentsu are all koutsu and/or kantsu of yaochuupai. In other words, it's chanta except you can't use shuntsu. From there, if you also don't use any jihai, making a hand only of routouhai, it becomes the yakuman "chinroutou".

Next is a yaku worth 2 han which does not have kuisagari applied, "honroutou". This is a yaku where your mentsu are all koutsu and/or kantsu of yaochuupai. In other words, it's chanta except you can't use shuntsu. From there, if you also don't use any jihai, making a hand only of routouhai, it becomes the yakuman "chinroutou".

Due to the nature of the yaku, honrou will always contain either toitoihou or chiitoitsu, so it's easy to make it worth a lot of points. The original Japanese says it will always contain san'ankou or toitoihou, but it's actually toitoihou (with possible san'ankou) or chiitoitsu

Example

Honroutou + toitoihou

Honroutou + toitoi san'ankou

Wait

Tsumo

Chinroutou

Chinroutou + suuankou

Next is "sankantsu". This is a yaku where three of your mentsu are kantsu. It's worth 2 han and is not subject to kuisagari. If all four of your mentsu are kantsu, it become the yakuman "suukantsu". Only four kantsu can be made in a round, so if you're going for sankantsu and the taacha make at least 2 kantsu, or going for suukantsu and they make at least 1 kantsu, they can prevent you from making these yaku. Thus, both of these yaku are difficult to make.

Sankantsu is tough enough to make that probably no one would complain if, instead of being worth 2 han, it were worth about 6 han

Sankantsu

Sankantsu + toitoi san'ankou

Suukantsu

Suukantsu + suuankou + chinroutou

The last one I'll be introducing is "shousangen". This is a yaku worth 2 han where you have koutsu of 2 types of sangenpai and a jyantou of the third type. But of course, koutsu of sangenpai are yakuhai, so if you make shousangen your hand will have at least 4 han. There are no restrictions on the other two mentsu. Also, if you have koutsu of all three types of sangenpai, it becomes the yakuman "daisangen".

By the way, for daisangen, if you make all of your mentsu of sangenpai via fuuro, the person from whom you called the tile to make the last of them is subject to sekinin barai ("the one responsible pays"), a.k.a. pao.

Contains shousangen

Shousangen if 9-pin, daisangen if haku

Contains daisangen

Wait

Tsumo

Wait

Daisangen. Ron from shimocha

Agari was off of your shimocha, but kamicha is subject to sekinin barai due to discarding the last hatsu you needed when you had already called haku and chun