The Smith machine squat will allow you to safely squat a heavy weight in the absence of a spotter. Just make sure that you use the safety pins.
The trap bar farmer's walk is a great whole-body exercise for improving functional fitness, enhancing unilateral leg strength, and boosting overall strength.
The trap bar deadlift is great for building glutes, legs, back and forearms; strengthening the core; improving functional fitness; and developing strength.
Activating your knee flexors, especially your hamstrings, the assisted inverse leg curl with lat pull-down machine can be dangerous.
Use the dumbbell box squat to eliminate the stretch reflex, making the exercise more difficult and allowing you to overload your muscles with less weight.
The prone hack machine calf raise is an isolated pushing exercise that targets the gastrocnemius, while the soleus acts as a synergists.
Use the barbell step-up to develop balance, coordination, core strength, and unilateral lower body strength.
If you don't have access to a leg curl machine, try the inverse leg curl on lat pull-down machine, an isolated pull exercise that targets your hamstrings.
Use the barbell front box squat to strengthen your front squat strength. It's also useful if you have knee problems, as it requires less weight.
The inverse leg curl (aka bodyweight or Nordic hamstring curl) is useful for working your hamstrings in the absence of a leg-curling machine.
Use the stability ball leg curl to work your hamstrings in the absence of a leg-curling machine. To make it more difficult, perform it with one leg.
Use the machine seated one-leg calf raise, a unilateral isolation exercise, to fix differences in the size and strength of your calf muscles.