Well, this has probably been done before, but for the sake of some of our newcomers, let's do it again.
1). What gun/cartridge comb. is best for up to say 70 yds. in thick woods?

2). Same as above, but now what is best for 0-200 yds., various backrounds? ( Woods, open areas, etc.)

3). What do you recommend for 150-350 yds., mainly open ground?

We're talking deer-sized game here, whitetail, mulies, antelope.
Let's hear your suggestions...............

30-06, bolt

Remington 700. Pretty much anything from .243 to .338 Win Mag. will effectively kill deer at the ranges and under the conditions you describe.

#1. Lever gun in what ever cartridge you choose. I am partial to the 444 Marlin.

#2. Ruger frontier or Steyr scoutin 7mm-08, .308, .376 Steyrwith a low power, variable, extended eye relief scope mounted foward over the barrel.

#3.Standard bolt gunis something like a 7mm-08, 25-06, .270 etc with a 3-9X40 mounted low over the receiver.

My personal opinion

1. Lever action30-30. (Marlin)
2. Bolt Action 30-06.
3. Bolt Action .270 or 25-06.

1. lever in 35 rem with open sights
2. Light weight Bolt in 35 whelen, 30-06 with fixed 4 or 2-7 power scope
3. Medium to heavy Bolt in 6mm-06, 25-06, 270, 308, 7mm rem mag,etc with 3-9 or 4-14 powerscope and bipod

Any of the 308/30-06 class cartridges in a remchestersavage will work bestfor any of those situations.
I don't buy into the notion that a levergun is better at shorter ranges than a bolt gun chambered in a superior cartridge.

I agree Briman, but a short barreled open sight lever gun can be pretty handyin a short range situation. The carbines swing real nice in a treestand or in tight quarters. Isn't the goal to convince the spouse you NEED another gun to hunt with because ......................

Sounds reasonable, but I've never had to worry about how a rifle swings in a treestand, nor have I hunted anything inside of an apartment building

Bingo!

Sounds as good as any to me