For someone who needs to learn the basic lifts something like the first article Rampantbadger posted, Starting Strength, or another very streamlined basic barbell lifting program geared towards beginners is a solid option.
However, personally I no longer view supplemental strength training and conditioning like I used to or like I see most strength coaches treating it, but instead I see it as things you do in order to best handle and be prepared for and remain injury free from the rigors of your chosen sport/activity.
For someone who has been a lifelong athlete and has kept their athletic attributes (strength, flexibility/mobility, explosiveness/connective tissue resilience, endurance, stability, core strength, etc...) in the proper balance thought that time, I think something like the second article by Thib would be a solid option. Unfortunately though, most adults fall very far short of that balance and continuing to build "performance on top of dysfunction" will only predispose one to injury in the long term.
For most adults I feel that the primary initial focuses should be on:
1) Core strength/strength endurance (both static and dynamic)
2) Regaining and building strength through a full range of motion in all joints in the body
3) Rebuilding connective tissue strength and resiliency and bringing it back into balance with muscular strength
4) Truly gaining mastery of your own body/body weight through all planes of motion to the point where additional resistance actually becomes necessary to continue to gain strength
So, at the very least if I were going to have someone follow that second program I would alter it as such:
1) Drop the "plyometrics" for now as again most adults lose their resiliency in their tendons/connective tissues and those tissues are therefore not prepared for and placed at a greater risk of injury from participating in plyometric exercises
2) Superset the Strength exercises with mobility exercises and only increase the resistance on the strength exercise once the mobility exercise has also been "mastered" as well
3) Up the repetitions to the 12-15 rep range on all strength exercises as higher rep ranges result in more blood to the connective tissues and is better for keeping connective tissue and muscular strength in better balance, Also keep rest times to as short as possible (ideally no additional rest that how long it takes you to perform the mobility exercise); you want lots of fatigue and to build work capacity right now and build some muscle as well (Thib himself even posted an article recently which cited a study that showed that fatigue/failure in and of itself is enough to stimulate hypertrophy, regardless of load).
4) Streamline the strength exercises so you focus on one upper body push, one upper body pull, and one lower body exercise at a time, then add in a core stabilization exercise (plank, hollow body hold, etc...), a dynamic oblique exercise (Russian Twists, Floor Wipers, side plank lifts, etc...), and a dynamic spinal Flexion/Hip Flexion exercise (sit-ups, hanging leg raise, v-ups, etc...). If you still have time/energy left you can add in a hip hyper extension exercise (Superman holds, back extensions, reverse hyperextensions, etc...) and/or wrist exercises (wrist curls, reverse wrist curls, leverage bar work, wrist push-ups, etc...).
Good luck and hope this helps.