There are so many more options when buying wheels now ... how about this for a wheel template, with the most important fields to see if they fit your bike first:
Mandatory:
Size: (20/24/26/27.5/29 inch) or (ETRTO number e.g. 30-622)
Hub Width: (Boost/Non-Boost/Lefty) (100/110/135/142/148/150 mm etc)
Axle Type: (QR/through-axle/bolt-on/stub-axle-lefty)
Axle Size: (5/9/10/15/20 mm) (fine/regular/coarse thread)
Freehub/Driver: for rear wheels (fixie/SS/BMX/Shimano-8/Shimano-10/SRAM/xD/Campy/other)
Disc Mounts: (yes/no) (6-bolt/centerlock)
Brake Tracks: (yes/no)
Strongly suggested:
Condition: (Used/NIB/near-new/parts)
Type: (MTB/downhill/jumps/freeride/XC/road/kids/other)
Brand:
Material: (alloy/carbon/composite)
Internal Rim Width: (e.g. 16/28/32/37/40 mm)
Tubeless: (no/yes/notubes/UST/TR/compatible/tubes)
Hubs: (e.g. Hope/DT-Swiss/Mavic/Shimano etc )
Valve Holes: (presta/schraeder)
Bearings: (cup-and-cone/sealed)
Spokes: (regular/butted/aero/center-pull/other)
Number of Spokes: (e.g. 24/32/36/40)
Nipples: (Al/brass)
Eyelets: (yes/no)
Spoke Lacing: (cross/radial/center-pull/other)
Spoke Tension: (normal/loose/tight ) (even/uneven/some-missing)
Straightness: (mm wobble radial and across)
Dings: (how many, large/med/small)
Maybe:
Dish/Offset
Joint type (welded/pinned)
Axle Compatibility (with adapters)
Fits Bike/s: (bike they came from, or suggestions)
Cassette Included: (yes/no/not-needed) and details
Lockrings included: (yes/no/not-needed) (cassette, disc)
Rim Tape Included: (yes/no/not-needed) (type stans/plastic/ghetto)
Rim Strips Included: (e.g. cushcore/huck-norris/foam)
Tyres Included: (yes/no type size)
Spares Included: (e.g. spokes, valves, tools yes/no)
Valve Caps Included now I'm just being way too pedantic