Welcome! Here's my new-owners checklist.
Inspect the tires for air, age and wear. Replace if they are too old, or too worn.
Perform an oil-change.
Inspect all fluid levels. Top up where needed.
Inspect all cables. Lube and replace where needed.
Inspect the brake's wear. Replace if too worn.
Inspect the fork seals and oil. Replace as necessary.
Inspect, and lube the drive-shaft splines. Moly 60 or better is suggested.
Replace your battery with an AGM or Gel style battery.
Replace your spark plugs with NGK Iridium Plugs #7803/DPR7EIX-9
Replace the stock Automatic Cam Chain Tensioners with Manual Cam Chain Tensioners, such as the ones manufactured by TOC.
Perform an rear-end oil-change.
Buy some SeaFoam, and use in every few tanks. If you are worried about the carbs being gummed up, you can drain some directly into the carbs via the vent hose.
Inspect the charging system on the bike. The stator is known to fail, which can cause the R/R to fail as well.
1986 Kawasaki Vulcan 750
NGK Iridium Plugs #7803/DPR7EIX-9
Duralast Gold ETX15 AGM Battery
Coastered & Shaved
Metzeler ME880 [110/90-19, 170/80-15]
Balance Dampers Replaced
Rebuilt Forks w/ Progressive Springs
VN750.com Grill Cover
Emgo 23-92411 Handlebars
MOSFET FH012AA R/R
1990 Kawasaki Vulcan 750
1998 Honda VFR800 FI
2014 Honda VFR800F
1989 Pontiac Firebird Formula 350