I am within a few days of being able to buy tickets for the Vienna State Opera. Twice before we have done the "stand-up" option and we decided to try the cheap tickets so we can at least sit down. I am trying to find out if one area of obstructed view seats is any better than another. It appears that all the cheap seats will have an obstructed view (understandably so.) I have reseached the seating chart/prices etc. on www.staatsoper.at. Hopefully someone has purchased such and can give me an idea.

Generally the obstructed view seats are those in the loge ( boxes) along the sides of the Opera House. Most all in rows 2 and 3 of the boxes.
The lower the number of the box regardless of level is the most obstructed 1-10 . 1 would be closest to the stage. Due to the severe angle of the seating arrangements one can only see a portion of the stage.
The higher the number of the box ( example 8-10 ) the angle is less severe and you can see a little more.
The acoustics are still OK - just the view is the trouble. If much of the act is placed toward the side of the stage toward your box - the less seen.
Still much better than standing room.

Molker, thank you so much for your response. I have again looked at the seating chart and think I have it figured out. I notice that the seats of choice that you have mentioned are the first to go. It appears that the Logen Parterre, Logen 1 Rang, and Logen 2 Rang (Box 10 or 9) would be closer to the center. Would the higher or lower (to the floor) be the best view?

The level depends on personal preference and of course availability.
Personally , I prefer the lower levels as it seems to have the better sight lines in my opinion.