Here is some standard guidance for using the JAWS screen reader or VoiceOver. For other screen readers, please refer to the manufacturers guide for basic commands.

JAWS Actions and Commands
Action Commands
Virtual HTML Features INSERT + F3
List Links INSERT + F7
Next Link TAB
Prior Link SHIFT + TAB
List Headings INSERT + F6
List of Form Fields INSERT + F5
List Buttons INSERT + CTRL + B
List Combo Boxes INSERT + CTRL + C
List Edit Boxes INSERT + CTRL + E
List Radio Buttons INSERT + CTRL + A
List Check Boxes INSERT + CTRL + X
List Tables INSERT + CTRL + T
Read from Beginning of Row to Current Cell INSERT + SHIFT + HOME
Read from Current Cell to End of Row INSERT + SHIFT + PAGE UP
Read the current row SHIFT + UP ARROW
Read the current column SHIFT + NUMPAD 5
List Frames INSERT + F9
List All Ordered, Unordered, and Definition Lists INSERT + CTRL + L
VoiceOver Actions and Commands
Action Commands
Find the next heading VO - Command - H
Find the previous heading VO - Command - Shift - H
Find the next control VO - Command - J
Find the previous control SHIFT + TAB
Find the next Table VO - Command - T
Find the previous Table VO - Command - Shift - T
Find the next Link VO - Command - L
Find the previous Link VO - Command - Shift - L
Find the next Paragraph VO - Shift - Page Down
Find the previous Paragraph VO - Shift - Page Up
Read the next Sentence VO - Command - Page Down
Read the next Line VO - Down Arrow
Read the previous Line VO - Up Arrow
Read everything visible in the window or the Dock, or on your desktop, depending on your location VO - Shift - W

ZoomText Actions and Commands
Action Commands
Virtual HTML Features INSERT + F3
Increase magnification ALT + NUMPAD PLUS
Decrease magnification ALT + NUMPAD MINUS
Turn color enhancements on and off CTRL + SHIFT + C
Font Enhancements (xFont, Standard and None) CTRL + SHIFT + F

Dragon Naturally Speaking Actions and Commands
Action Commands
Turn the microphone on or off Plus key (+) on the numeric keypad
Open the Correction menu Minus key (-) on the numeric keypad
Force words to be recognized as commands Press and hold down the CTRL key
Force words to be recognized as dictation Press and hold down the SHIFT key
Open the Naturally Speaking menu Asterisk key (*) on the numeric keypad
Put the microphone to sleep or wake it up Slash key (/) on the numeric keypad
Press-to-talk Zero key (0) on the numeric keypad

Mobile Operating Systems

TalkBack Navigation Actions and Commands
Action Commands
Move to next item Alt + Shift + Right arrow
Move to previous item Alt + Shift + Left arrow
Move to first item Alt + Shift + Up arrow
Move to last item Alt + Shift + Down arrow
Click focused element Alt + Shift + Enter
TalkBack Global Actions and Commands
Action Commands
Back Alt + Shift + Backspace
Home Alt + Shift + h
Recent apps/Overview Alt + Shift + r
Notifications Alt + Shift + n
Search the screen Alt + Shift + / (forward slash)
Next navigation setting Alt + Shift + Equals (=)
Previous navigation setting Alt + Shift + Minus (-)
Open global context menu Alt + Shift + g
Open local context menu Alt + Shift + L
Stop TalkBack speech Control
Pause or resume TalkBack Alt + Shift + z

No special instructions.

The Rotor allows the user to choose from a list of navigation options, including Containers, Headings, Landmarks, Same item, Vertical Navigation, Static text, Links, Tables, Lists, Buttons, Form Controls, Text fields, Search Fields, and Images.**

Rotor Actions and Commands
Action Commands
Choose a setting on the rotor Twist two fingers in a circle
Go to the next element on the page Left and Right swipe
Go to the next element of type selected in the rotor Up and Down swipe
Read entire page Two finger swipe down
Read next item Swipe right
Activate link, button Double tap
Close popup, cancel last action Two finger scrub
Go to next heading Rotor, swipe down
Go to next landmark/region Rotor, swipe down
Go to next table Rotor, swipe down
Navigate table cells Swipe up, down, left or right
Go to next list Rotor, swipe down
Go to next list item Swipe right
Go to next image Rotor, swipe right
Go to next link Rotor, swipe down
Go to first (last) item on page 4 finger tap upper (lower) half of screen
Scroll (vertically or horizontally) 3 fingers swipe up, down, left, or right
Go back to previous heading, landmark, table, focusable item, etc. Swipe up