Mobility work. Work with some dancers or gymnasts if you can, same way you go to a powerlifter to learn how to increase your bench, go to someone who can do full splits, full back bends and touch their knee to their face for flexibility advice.
This one is a bit different but muscle endurance and static contractions are far more important in real life than raw strength, IMO. Most "heavy objects" you have to pick up on a day-to-day basis are usually in the 50-75lb range, which really isn't that much, but holding them and maneuvering them for periods of time is totally different. Bodyweight workouts on gymnast rings or parallel bars would be ideal but not everyone has access. Another cool thing is doing timed sets, for ex. 3 one minute rounds on a machine, drop-setting as you have to but a non-stop 60 seconds. This is brutal cardio too. I'll do entire workouts like this every few days, you mostly have to use weight-stack machines though to keep the proper pace going.