Shortcut Keys
Movement
Arrow Keys - Moves selected unit in desired direction.
2 - Show all squares player is allowed to move to.
W - Select next unit (Wait current unit).
S - Sentry selected unit.
Space - End turn for the selected unit.

Selection Commands for units and squares
Z - Deselects all selected squares on canvas
E - Toggles selected status for each TF in every selected map square. Useful for disbanding many TFs at once.
Backspace - Undo movement for selected unit.
Right Click - Select square for TF Box, also selects first TF in box for movement if possible.

Battle Behaviour
6 - Increases the odds at which the commander will try to retreat by 0.1
7 - Decreases the odds at which the commander will try to retreat by 0.1
8 - Increases the odds at which the commander will try to attack by 0.1
9 - Decreases the odds at which the commander will try to attack by 0.1

Task Force creation and disbanding
U - Form Task Force from selected units in square of TF Box.
0 - Dissolve selected Task Forces into their units; usually moving unit in TF Box.

Economics, Province handling and Technologies
C - Show economic status of whole civilizations of selected square/province. (Old Economic model)
F1 - Show economic info for province(s). (Old Economic model)

Diplomacy and Diplomacy AI
T - Show results of potential treaties between player Civilization and of civilization of a selected square.
P - Output civilization positions in terms of current relative military power and economic power, also projected future values.
D - Show diplomatic/military status of civilization of selected square with every other civilization they contact.

Map Control
X - Change center of field to the selected square. If you want the map to move up further, select a square at the top of the map and hit X.
Military AI
V - Show vital square status of civilization of selected square/province.
F - Show foreign square (how many foreign squares are around it) status of selected square/province.

Miscellaneous
3 - Turn on Movement Cheat mode; Allows Player to teleport like the AI.
4 - Increase production of naval units by 5%.
5 - Decrease production of naval units by 5%.
F6 - Switch civilization for player to a new one. Uses selected square (does not work if a Cultures square is selected.)
H or Spacebar - Stop turn at end of current turn. Spacebar only works when a map has the focus.

Cheat Mode - Available by pressing 3
Enter - Select available troops and attack selected square.
M - Move military Task Forces to first selected square they come across.