Nuruomino (aka LITS)

[from Wikipedia]

1. Shade a tetromino on each area, such that:
2. Every pair of orthogonally adjacent tetrominoes are not equal (considering rotations and reflections),
3. The shaded cells are all orthogonally contiguous and contain no 2×2 square tetrominoes as subsets.

Solution:

DIAMOND & PIVOTS (v.2)

1. On each turn, each player passes or drops a stone on an empty cell.
   There is a swap option after the first half-turn.
2. If any diamond patterns with four friendly stones are made, the player
   must choose one, choose a stone from it (the pivot), and place
   its other three stones in a line starting from the pivot.
  2.1 Every stone (of either color) that was on those destination cells
      are captured and removed from the board.
  2.2 If, after a pivot movement, another diamond shape is made,
      the player must repeat this procedure.
3. A stone may not be played to make a group of more than four stones,
   unless it thereby makes a diamond.
4. After two consecutive passes, wins the player with more
   stones (if equal, wins the 2nd)

Sample game:
abcdefghijklmnopq
    . . . . .      1.  c7 <--pied  i5
   . . . . . .     2.  d6          j4
  . . . . x x .    3.  e7          k5
 . . o x o x . .   4.  h4          m5
. . x x . x o . .  5.  l4        j6,h4-n4::
 o o x o . . . .   6.  h6     k5,k5-e5,h4-e7:
  o x . . . . .    7.  f4          l4
   . . . . . .     8.  m5          k3
    . . . . .      9.  j4          m3
abcdefghijklmnopq 10.  b6

And then...

abcdefghijklmnopq
    . . . . .      1.  c7 <--pied  i5
   . . . . . .     2.  d6          j4
  . . . . x . .    3.  e7          k5
 . . o . x . . .   4.  h4          m5
. . . . x x x x .  5.  l4        j6,h4-n4::
 x x x x . . . .   6.  h6     k5,k5-e5,h4-e7:
  o x . . . . .    7.  f4          l4
   . . . . . .     8.  m5          k3
    . . . . .      9.  j4          m3
abcdefghijklmnopq 10.  b6

10...   l2,k3-h6::,h4k5,i5-o5:,e5i6,h6-b6::

First player resigns.


Nurikabe

[from nikoli website]

1. You cannot fill the cells containing numbers.
2. A number tells the number of continuous white cells. Each area of white cells contains only one number in it and areas are separated by black cells.
3. The black cells are linked to be an orthogonally continuous wall.
4. Black cells cannot be linked to be 2x2 square or larger.

Solution:

Filomino

[from nikoli website]

1. Fill in all empty cells with numbers under the following rules:
2. The area, connected by the same numbers horizontally or vertically, is called "Block". Separate the entire board by Blocks.
3. Each Block contains as many cells as the number it contains (e.g., a Block of 6 has 6 cells).
4. Blocks of the same size must not touch each other, horizontally or vertically.

Solution:

Hitori

[from nikoli website]

1. Paint enough cell numbers such that:
   
2. No number may appear more than once in each row and each column.
3. The painted cells must not be orthogonally connected.
4. Un-painted cells must not be orthogonally separated by painted cells.

Solution:

Akari

[from nikoli website]

1. Place circles according to the following rules.
2. Circles are permitted at any white squares. Each number indicates how many circles are next to it, vertically and horizontally.
3. Each circle 'illuminates' from it to black square or outer frame in its row and column.
4. Every white square must be illuminated and every circle should not illuminate each other.
   

Solution:

It's possible to play online at http://www.puzzle-loop.com/

Hashiwokakero

[from nikoli website]

1. The number of connections is the same as the number inside the node
   
2. There can be up to two connections between two nodes
3. Connections cannot cross nodes or other connections
4. There is a continuous path connecting all nodes

Solution:

It's possible to play online at http://www.puzzle-loop.com/

Slitherlink

[from nikoli website]

1. Connect dots with vertical / horizontal line and make one loop.
2. Numbers are the hints to know how many lines can be drawn around it.
   There may be any number of lines around cells without number.
3. Lines cannot be crossed or branch off.

Solution:

It's possible to play online at http://www.puzzle-loop.com/

Masyu

[from nikoli website]

1. Make a single loop. Lines must pass through the centers of cells horizontally or vertically and never cross, branch off, or go through the same cells twice.
2. Lines must pass through all cells containing black and white circles.
3. Lines passing through a white circle cell must go straight through the cell, then make a right-angled turn in the very next cell (on at least one side of the white circle cell).
4. Lines passing through a black circle cell must make a right angled turn immediately, in the black circle cell, then go straight for the next two cells.

Solution:

Futoshiki

A new Japanese puzzle. As in Soduku, you must place all numbers from 1 to 5 in each row and column without repetition, but you must also satisfy the less than/greater than signals.