I'd like a complex, non-caster based, melee PC for whom the majority of their actions are not "I roll to hit, I roll to hit, I roll to hit, I roll to hit. I roll for damage. I roll for damage. I roll for damage. I roll for damage."
Funny. It seems to me that's already in 5E.
"I roll to hit."
"I power-attack."
"I push the enemy prone, then Power Attack him twice."
"I grab the enemy, push him prone, and bash him once with my shield."
"I close the door and then stab the slaad."
"I dodge."
"I ready myself to shoot whoever sticks his head up first."
"I shove him off the cliff."
"I try to disarm him."
"I grab the dragon's wing and climb between his shoulder blades, then hit him with my sword in my free hand."
"I try to run past the chuul and power attack the ghast."
"I attack the ghast twice and then move 40' back out of range."
"I apply poison to my weapons. I cover three darts with drow sleep poison this round."
"I take (half) cover behind the desk and shoot the guards."
"I grab (grapple) the princess and drag her out into the hall with me."
"I stay seated in my wagon so the orcs can't hit my legs, and I ready my greatsword to attack whoever gets within 5' of me."
"I take cover and hide so I can get advantage next turn."
These are all actions which are supported in 5E, in PHB rules or DMG optional variants. Most of them happen at my table on a fairly regular basis. None of them requires any special abilities--they're all built into the core competence of every single 5E character, although special abilities like Mobile or Athletics Expertise can make them more effective.
If all you ever do is, "I roll to hit. I roll to hit," I am sorry for you. Maybe your DM could up the difficulty a bit so you have a reason to play more tactically? If the encounter is already trivialized, using smart tactics feels like a waste. "Who cares about sneaking up on the kobolds to him them on the wrong side of their barricade? They can't hurt us anyway, and if they do we'll just eat a couple of goodberries. Forget about 'optimal approach,' just kill them already with a Fireball."