I am in complete agreement with those here who want to see this fixed. At this point I am fairly close to restoring iOS6 as I find the functionality unacceptable. To create these "bugs" you need to use the interface rather quickly but I immediately found these issues interfering with my experience, for example here are a few things you can try to re-create these issues:
1.) From unlocked state, push on/off button on top, then immediately push the home button to turn display on locked, it won't recognize this action. You'll have to click home 2x or 3x. If you delay between then it works. This is clunky and unacceptable.
2.) Open an app and immediately begin interacting with it, your tap or gesture will not be recognized. Instead, you'll have to repeat the tap or gesture a second later.
3.) Unlock phone and immediately click on a app, it won't open. You'll have to tap on it a couple of times.
4.) I have also found iOS7 requires tapping of app icons closer to the top section of the app, if you tap towards the button of the app icon or text nothing happens. It seems the tap area was reduced.
The people who will have issues are those that perform gestures and taps without looking at them. We learn the location and action to perform a task in the blind because the brain doesn't need to see it, we learn where it is and what to do.
Why are we so upset? Because Apple gave us functionality in prior iOS releases they took away, that's why. Now the interface feels buggy because of the taps and gestures they make us repeat.
There is some wonderful new features in this release like post-processing of HDR (no more waiting) and I truly hope they fix this, soon. ...but I am not confident they will.