Here are the list of yakus obtainable under Japanese Mahjong rules.

1 yaku

Reach (立直)

- Must be fully closed, and only when a person declares Riichi. Once you declared riichi, you CANNOT change your hand. You can still make a closed kan as long as it does not change the waits. If you tsumo/ron a riichi hand, 1 yaku is automatically here and you can open the ura doras.

1-shot (一発)

- Only when declaring riichi. A 1-shot is defined when you tsumo/ron a riichi hand during the turn you declare riichi. Another condition is that there are no calls around this time. The extra han is yours if you pulled this off.

Tsumo (門前清自摸和)

- Only for a fully-closed hand.

Last draw tile (海底撈月)

- One of the lucky han where you draw the last tile that happens to be the winning tile. The meaning of this statement is "Scooping the moon out of the bottom of the sea."

Last discard (河底撈魚)

- Another lucky han where you ronned the final discard tile from another person. The meaning of it is "Scooping the fish out of the river."

Dead wall draw (嶺上開花)

- Another lucky han that has a condition when you declare a kan, and draw the winning tile from the dead wall.

There is also a unique rule such that when you make an open kan (meaning taking the 4th tile discarded to make a kan), if you tsumo by the Dead Wall Draw, the person who discarded the 4th tile must pay in full instead. This rule is called "The responsible one pays". (責任払い)

Robbing a quad (搶槓)

- Only applies when someone makes a late kan (A.K.A adding the 4th tile he draw onto the pon)

All sequences (平和)

- Only applies when your hand is purely closed, a 2-sided wait and all of your melds are sequences and a worthless pair. (You still can have a wind pair as long as it is not your wind/round)

All simples (断么九)

- All of your melds do not have any terminals or honors. In some rules, a kuitan (Open tanyou) is allowed, and vice versa. Make sure to read the rules before playing.

1 identical sequence (一盃口)

If you have something like this : 667788 pins, then thats an identical sequence. Your hand must be fully closed.

2 yakus

Double Reach (ダブルリーチ)

Same as a normal reach, except that you are already in tenpai after just 1 draw without any calls whatsoever.

Straight (一気通貫)

In a pin/wan/sou set, you have each tile from 1 to 9. Loses 1 yaku if open.

3-coloured straight (三色同順)

In each pin/wan/sou, you have identical sequences (Like 345 in pin, wan and sou sets). Loses a yaku if open.

3-coloured triplet (三色同刻)

Same as above, except that you have 3 of the same triplets in each kind. Unlike the above, it doesn't lose a yaku even if it is open.

Mixed terminals (全帯么)

Each meld contains a terminal or honor. Loses a yaku if open.

All triplets (対々和)

Every meld are triplets/quads.

7-pairs (七対子)

A special hand where you have 7 pairs in your hand. Must be fully closed and automatically gives you a 25-fu hand no matter the circumstances.

3 concealed triplet (三暗刻)

A hand consisting of 3 concealed triplet melds.

All terminals and honors (混老頭)

A hand that consists only the terminals and honors. Since it is paired with 7-pair or all triplets, it will always yield at least 4 hans.

Little 3 dragons (小三元)

A hand that has 2 dragon triplets and 1 last dragon as a pair. It will yield at least 4 hans after adding the dragon yakuhais.

3 kans (三槓子)

Your hand consists of 3 of any kind of kans. Statistically its the hardest non-yakuman point to win.

3 yakus

Mixed Flush (混一色)

Your hand only consists of 1 suit plus the honor tiles. Loses a yaku if open.

2 identical sequences (二盃口)

You have 2 different identical sequences in your hand. In this case, a 7-pair hand doesn't apply anymore.

Pure terminals in each set (純全帯么)

Your hand strictly consists of a terminal in each set, without honors. Loses a yaku if open.

6 yakus

Flush (清一色)

Your hand only consists of 1 suit, nothing else. Loses a yaku if open.

Auto-Mangan yaku

Terminal/honor discards (流し満貫)

Only to be done during a null round by exhaustive draws. If your discards are purely made of terminals and/or honor tiles only, you'll automatically get a Mangan hand (2000/4000 to non-dealer, or 4000 each to dealer). In some rules, your discards must not be called from others. This scenario is stackable, thus more than 1 person can pull this off, although it very rarely happens.