Us my increased knowledge/processing power to essentially run a simulation to catch all unforeseen consequences of the below actions before they are implemented.
These are the first and immediate actions I would take:
Immediately stop all (active/ongoing) child-abuse of any kind (this would probably require something to the effect of stopping time, and using my power to remove any child in immediate danger).
Immediately stop all other (active/ongoing) sexual abuse of any kind.
Make healthy food and water available to all hungry people everywhere (by improving soil/agricultural yield/fixing droughts etc whenever possible).
Immediately stop all (active/ongoing) predatory violence (including government oppression/local wars) of any kind.
Since I can read minds, heal all life-threatening physical and serious mental afflictions in which the patient deeply desires to be healed- this would include addictions of all kinds.
Now that the immediate stuff is done, these are the ongoing things I would do:
Be essentially everywhere (that there are people) at once, and, when I deem appropriate, stop serious violent actions. This would include ALL rape and sexual violence, ALL child abuse, and probably all murders and other active attempts at killing people (justified homicide could be an exception, and there might be other exceptions). This would not include minor assaults, robbery, theft, and other crimes short of the ones that risk death or serious physical or mental damage.
While I’m everywhere at once, prevent random acts of death due to natural/freak occurences (including deaths due to weather effects, earthquakes, structural failure, etc- note that I’m not stopping the occurences, just the deaths and serious injuries).
Resolve the question of animal consciousness/awareness, and when appropriate, prevent serious cruelty to animals (unless my omniscent investigation into animal minds disagrees, this does not include preventing humane farmers/ranchers from slaughtering livestock).
Basically, no one will get raped/sexually-abused EVER while I’m nigh-omnipotent (no minds will be altered- but everyone struggling to get free will get a sudden burst of strength/speed, etc), no one will suffer death or debilitating physical/mental injury through no fault of their own (or no fault other then minor lack of awareness, being at the wrong place/wrong time, etc)- so if someone is stupid and driving drunk, for example, they may crash and break their arms and legs or even die, but they won’t kill anyone else. Or if someone is climbing a mountain without proper safety gear, they may fall and break bones, but they won’t die.
I’ll leave it up to the non-nigh-omnipotent to solve most other problems.
On a side note- the main reason I don’t believe in an omnipotent God is mostly because he doesn’t do ANY of the things I think he ought to do (chiefly, preventing children from cruelty/nightmare stuff).