You have the super compact with 20x optical zoom out to 560mm which is beyond what most DSLR can do with atatched lens selection. It is a top line 12.1 megapixels and should do almost whatever the DSLR can do except at the higher optical zone end where it might soften up a bit because it goes to f5.6
The squirrel and dove shots were probably shot in normal AE point and shoot mode.
You could have set the camera to Vivid settings and bumped up the contrast and sharpness significantly and move the color saturation just a notch and the pic comes alive
Then pick any of the two modes Program or Aperture Priority and for the dove gave it a little fill flash
The frog you could have shot at the Macro Mode.
Sometimes I wish I would have not sold my Sony H-7 supercompact as there are times when a picture opportrunity arises and you can get the shot off with the proper settings and it would be hard to see any norticeible difference between that and a DSLR.
Also i wish I still had the super compact as my Sony A200 DSLR is out for warranty repairs and I am enjoying the thrills using the film backup camera
Sometimes you can get a supercompact to do most of the shots if you are starting out and you would not be addicted to getting more lens for that little bit of extra performance and have to lug around a sack full of lens like 9 for me.
So guys with the super compacts..please feel confident to post up some unique pics as this time of the year it fills in that time .gap where the guns are hung up
So you have a camera that has the potential of doing most function if you comopose the shot and set it up well