The easiest way is to browse some ammo manufacturers sights, like remington, winchester and Hornady. They all list speeds, energy figures and trajectories of the various shells and calibers. This is a good way to compare them as to performance.
Some will over lap depending on how they are loaded.
For the ones you listed as far as power goes I would rate them like this.
30-30 least powerful, good deep brush caliber though at shorter distances. lOT's of deer have been taken with this caliber in the midwest would be my guess.
30-06 and 270 are pretty close in my opinion with the edge going to the 270 for deer. Depending on the loads you use I think the 270 shoots a bit flatter and tends to be a fairly accurate caliber. I believe the 30-06 has a bit more power down range though. I would have to look them up to compare them, and I didn't. That is something you can do on your own

. Both are extremely popular rounds and you can find ammo for them anywhere. The 30-06 is considered a DO ALL cartridge and one of the most popular loadings in history would be my guess.
The 300 win mag (I assume that is what you are talking about) is the most powerful of the bunch. It has more range and more power down range with the flatest trajectory. The down side is it is most likely expensive to shoot, has more recoil and would do a fair amount of damage to deer sized game. This is more of a long range weapon, or large game weapon, like moose or something like that. My opinion anyway.
And there are a ton of calibers you left out that fall in between there. Like the .308 and 7mm mag. Or 25-06 and .243.
Paul