So many Short Cuts

Try Pressing the R Key while dragging a component to cycle through placement options.
Try Holding down the Ctrl Key while Routing to Override Snapping Options.

That's it !

Menu - Short Cut Keys

Click + Ctrl  to edit a menu



In the example shown above in the PCB Editor I pressed the M key, then held down the Ctrl key and selected Move Selection by X,Y... and added the & in front of Y as shown below.

That's it !

Script - Run with Shortcut Key

C:\Altium_RJC\Altium_Central\Scripts\Fix_Connections_v1.0\Fix_Connections.PrjScr

Create New or Edit a Custom Shortcut Key (Hotkey)

Right Click on Main Toolbar > Customize > [Custom]

Example Settings

Process:

ScriptingSystem:RunScript

Parameters:

ProjectName=C:\Altium_RJC\Altium_Central\Scripts\Fix_Connections_v1.0\Fix_Connections.PrjScr|ProcName=Fix_Connections.pas>Start

Shortcuts:

Assign Primary Key to run the Script.

Tip: Edit existing menu short cuts by holding down Ctrl + Select Menu Button

Bitmap Icons (18 x 18 pixels) can be added to the toolbar.

That's It . . .

Custom Shortcut Keys

In Altium it's easy to define your own shortcut keys.

In the example shown below, I will create a shortcut key for setting the origin in the PCB editor.



Navigate as shown above and then hold down the CTRL key and left click your mouse on Set.

The Edit Command Dialog should pop up.  As shown below I have set the Primary Shortcut to CTRL+Shift+O

Toggle Board Insight Lens - Shift+M

Shift+M

I personally don't use the Insight Lens feature, however I occasionally toggle the Lens on accidentally when using keyboard short cut keys and I need this shortcut key to toggle it off.

I suspect it's not one of the tools more popular features as it's rarely touted.

Insight Shortcut Keys:
 
Shift+M - Toggles the Insight Lens On/Off 
Alt+Roll - Zooms the Lens in and out (Alt + Roll Mouse Wheel)
Shift+N - Toggle to Move and Park the Lens

Board’s eye view of your multi-layer board - Altium Workshop Tip - PDF

Shortcut Keys

Learning a few short cuts keys will definitely increase your productivity.  Altium comes configured with numerous Short Cut Keys.

It is easy to forget how many short cut keys are available in Altium.

Shortcut Keys | Online Documentation for Altium Products:

If you have dual monitors put the short cuts on your second screen while you work and try to learn a few.

The table below was cut and pasted from Excel.
Schematic and PCB:
G Change Grid JC Jump to Component JN Jump to Net PW Place wire CTRL + SHIFT + V Smart Paste SHIFT + C Clear Selection Q Metric <> English Toggle O Display Options Menus X Flip Selection Horizontally Y Flip Selection Vertically PCB Editor: Align Objects: A C = Horizontal Center A V = Vertical Center A L = Left A R = Right A T = Top A B = Bottom Place: CTRL + SHIFT + D Snap Selected Components to Grid PT Place Trace (Route) PS Place String (Text)  PW Place Working Guides PV Places VIA (Default Size VIA) PM Place Multiple Traces (Buses) SPACE BAR Rotate selected object R Component Place Modes M Move Selection Polygons: Help Altium Documentation Link  TG Polygon Pour Menu Edit Vertices Shift  +  Space toggles corner modes Measure: CTRL + M Measure (Press CTRL for point to point) Reports > Measure Primitives Measure Distance Between Primitives. Origin: SHIFT + CTRL + O Set Origin Routing: Ctrl + Left Click Auto Completion +/-  Change Layer and Drop Via SHIFT + SPACE BAR Change Routing Angle Modes * Drop a Via and Continue Routing SHIFT + R Push and Hug Modes SHIFT + V Select Via Size SHIFT + W Select Trace Width TAB KEY Set Interactive Routing Options (Start a Route then press Tab Key) Select: S Select Copper SI Select Inside Area. SU Select Touching Rectangle. SS Select Copper PADs and VIAs. SHIFT + C Clear Selection View: CTRL + LEFT Highlight an Entire NET F5 Toggle Color by Nets / Layers SHIFT + H Heads up Display - Toggle SHIFT + S Single Layer Mode - Toggle +/- KEYs Switch Layers L View Configuration for Layers VD Zoom to Used Area VF Zoom to Board View 3D View: 2 2D View 3 3D View VB Flip View Top <> Bottom SHIFT + RIGHT 3D Rotation Hotspot Snap: SHIFT + E (Toggles) Grid, Hotspot and Hotspot (All Layers) Insight Lens: SHIFT + M Toggle Insight Lens On/Off M Move Objects Paste Special: EA ALT + Insert will paste to the current layer