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For instance :

Starting from a circle :

• Add a circle
• In edit mode (Tab) extrude E and stay in place (Esc or RMB)
• Scale S
• Select all and extrude again E

Or from a cylinder :

• Add it
• Remove top and bottom the faces
• Then same principles as above

Or using curves :

• Add a plane
• Keep only the edges X the 'only faces'
• Back to object mode convert it to a curve Alt+C then curve from mesh
• Add a bezier circle curve
• Set the previous plane as bevel object
• Tuning : move the plane vertices (or scale or other) to make the hole appear (here in edit mode, select all then grab along X)

Another one !! Using spin tool :

• Add a plane
• Keep only the edges
• In edit mode offset it (and eventually scale it)
• Go in front view (viewing the plane on its side)
• Then spin tool Alt+R, set the rotation, the amount of steps
• Remove double (for the last step which overlaps)

Or with 2D curves (but not only quads here):

• Add a bezier circle
• Set it to 2D
• Duplicate, scale
• Convert to mesh
• Extrude

For instance :

Starting from a circle :

• Add a circle
• In edit mode (Tab) extrude E and stay in place (Esc or RMB)
• Scale S
• Select all and extrude again E

Or from a cylinder :

• Add it
• Remove top and bottom the faces
• Then same principles as above

Or using curves :

• Add a plane
• Keep only the edges X the 'only faces'
• Back to object mode convert it to a curve Alt+C then curve from mesh
• Add a bezier circle curve
• Set the previous plane as bevel object
• Tuning : move the plane vertices (or scale or other) to make the hole appear (here in edit mode, select all then grab along X)

Another one !! Using spin tool :

• Add a plane
• Keep only the edges
• In edit mode offset it (and eventually scale it)
• Go in front view (viewing the plane on its side)
• Then spin tool Alt+R, set the rotation, the amount of steps
• Remove double (for the last step which overlaps)

Or with 2D curves (but not only quads here):

• Add a bezier circle
• Set it to 2D
• Duplicate, scale
• Convert to mesh
• Extrude

Modifiers and "non destructive way" :

• An eccentric plane
• Solidify
• Array
• Simple deform with 'bend'

For instance :

Starting from a circle :

• Add a circle
• In edit mode (Tab) extrude E and stay in place (Esc or RMB)
• Scale S
• Select all and extrude again E

Or from a cylinder :

• Add it
• Remove top and bottom the faces
• Then same principles as above

Or using curves :

• Add a plane
• Keep only the edges X the 'only faces'
• Back to object mode convert it to a curve Alt+C then curve from mesh
• Add a bezier circle curve
• Set the previous plane as bevel object
• Tuning : move the plane vertices (or scale or other) to make the hole appear (here in edit mode, select all then grab along X)

Another one !! Using spin tool :

• Add a plane
• Keep only the edges
• In edit mode offset it (and eventually scale it)
• Go in front view (viewing the plane on its side)
• Then spin tool Alt+R, set the rotation, the amount of steps
• Remove double (for the last step which overlaps)

For instance :

Starting from a circle :

• Add a circle
• In edit mode (Tab) extrude E and stay in place (Esc or RMB)
• Scale S
• Select all and extrude again E

Or from a cylinder :

• Add it
• Remove top and bottom the faces
• Then same principles as above

Or using curves :

• Add a plane
• Keep only the edges X the 'only faces'
• Back to object mode convert it to a curve Alt+C then curve from mesh
• Add a bezier circle curve
• Set the previous plane as bevel object
• Tuning : move the plane vertices (or scale or other) to make the hole appear (here in edit mode, select all then grab along X)

Another one !! Using spin tool :

• Add a plane
• Keep only the edges
• In edit mode offset it (and eventually scale it)
• Go in front view (viewing the plane on its side)
• Then spin tool Alt+R, set the rotation, the amount of steps
• Remove double (for the last step which overlaps)

Or with 2D curves (but not only quads here):

• Add a bezier circle
• Set it to 2D
• Duplicate, scale
• Convert to mesh
• Extrude

For instance :

Starting from a circle :

• Add a circle
• In edit mode (Tab) extrude E and stay in place (Esc or RMB)
• Scale S
• Select all and extrude again E

Or from a cylinder :

• Add it
• Remove top and bottom the faces
• Then same principles as above

Or using curves :

• Add a plane
• Keep only the edges X the 'only faces'
• Back to object mode convert it to a curve Alt+C then curve from mesh
• Add a bezier circle curve
• Set the previous plane as bevel object
• Tuning : move the plane vertices (or scale or other) to make the hole appear (here in edit mode, select all then grab along X)

For instance :

Starting from a circle :

• Add a circle
• In edit mode (Tab) extrude E and stay in place (Esc or RMB)
• Scale S
• Select all and extrude again E

Or from a cylinder :

• Add it
• Remove top and bottom the faces
• Then same principles as above

Or using curves :

• Add a plane
• Keep only the edges X the 'only faces'
• Back to object mode convert it to a curve Alt+C then curve from mesh
• Add a bezier circle curve
• Set the previous plane as bevel object
• Tuning : move the plane vertices (or scale or other) to make the hole appear (here in edit mode, select all then grab along X)

Another one !! Using spin tool :

• Add a plane
• Keep only the edges
• In edit mode offset it (and eventually scale it)
• Go in front view (viewing the plane on its side)
• Then spin tool Alt+R, set the rotation, the amount of steps
• Remove double (for the last step which overlaps)