I agree nanoframe is a good status to show. It can make a big difference in determining to attack the llt with a small group of raid units. Other status effects to show is cloaked, under water/partially underwater(not really as important). There is a widget that shows priority, but would be better to include that as well. Now to show this info while "not look like a mess."
This is what I am thinking:
Facing and turret direction can be as easy as a small square and small triangle at at the edge of the unit icon at the indicated angle.
If the status effects are big enough to be identified by an icon, they are probably going to be too messy, so colored dots are probably the way to go. show these centered at (.5, .25), so top half of icon.
Health and action recharge bars
stacked and centered at (.5, .75), so top half of icon.
I could probably merge health, construction, stun, and slow into 1 bar, but I would need to experiment with slow and stun.
action/d-gun/jump recharge would be helpful for both your units and enemy units.