Well, perhaps one could take a systems approach to this and, as a pilot, deep-dive inspect, say the "fuel system" as a critical system. Maybe something like this for a deep review. (this is not a comprehensive list, just ideating here):
Great call @mike_elliott, retuning the list:
0. Check Pilot as the most important critical system. IMSAFE (Illness, Meds, Stress, Alcohol, Fatigue, Emotion) , WX, how willing am I to do due diligence with MX, WX, Currency (IFR, Medical, BFR) , Competency (rusty?, should I plan ahead to take a few solo hops / circuits before I take the trip with PAX), learning my aircraft systems, reviewing emergency checklists etc? Can I plan ahead, make a calendar of regularized practice as a reminder to keep proficient? AMISAFE?
1. Purchase the MX and parts manuals for your aircraft, get a good flashlight and inspection mirror..also some inspectors paint (https://www.aircraftspruce.com/catalog/cspages/crosschecktorqueseal.php?gclid=Cj0KCQjwgezoBRDNARIsAGzEfe62MiGRRFz-WqqKs6eek8PWajrSiW5tqj29XafWmhUjUKFGUbtnlE4aAkC7EALw_wcB )
2. Remove side and top cowling on the engine
3. Review manuals on all elements of the fuel system from tank to injector with an eye to understanding the complete fuel schematic and the purpose of every component in it.
4. Locate all referenced the fuel hoses, lines, junctions on your aircraft follow the fuel lines (review manuals for access panel removal). Inspect all junctions and clamps etc for tightness, clamp security, safety wiring, check for chafing, fuel stains/odor etc.
5. Once a fitting has been verified for security/torque, mark it with torque seal, ideally in a way that allows potential for visual inspection during a preflight.
6. Review your engine logs, when was the last time your fuel system screens were serviced? Fuel control / injection system rebuild? Injectors cleaned? Verify with your mechanic.
7. Have your (assumed Mooney literate) A&P show you how/where he checks filter/strainer conditions and review replacement schedule.
8. Remove your side walls covers in your interior and inspect the inboard fuel sending units. Check for leads/odor.
9. Review any outstanding questions, concerns with your mechanic and learn your airframe.
10. When MX is to be performed discuss what areas of the aircraft will be worked on , observe if you can, and put a second set of eyes on the work area to validate critical systems...even on systems that were not (theoretically) part of the work. (Found a nice snap-on ratchet that way....).
11. Make a MX calendar for your plane and check time/tach state. Put your next upcoming tach/time based MX items in a place you will notice. Put time based items in your email calendar as a reminder.
All the above as supplemental to your annual inspections and other MX activity and inspections... just creating knowledge here and a second "thin blue line" to catch those finger tight fuel fittings and other unhelpful surprises so we don't find them in flight.
This type of thing could be done for other critical and support systems. Flight Controls. Electric. Landing Gear. Propeller. Engine Cooling etc, but special attention on anything that would make the propeller stop turning in flight.