sorry for the long delay. In the .177 caliber, I have an El Gamo hunter. I use heay hunting pellets and have never had a problem on rabbits out to 20-30 yards. It is a very accurate, break barrel design.
Another option is that if you were looking for a more precision airgun is the CZ s200s. It is a great rifle that uses compressed air. It is very accurate. My rifle team in High School used this type of air rifle in the nationals and did very well. In fact they just took second place in the NRA match.
The only problem with the gamo is that the trigger sucks. You can modify it and I would recomend it. The con on the CZ is that it is Compressed air powered so you will need access to a scuba tank to refill it. DO NOT use your average garage compressor. The air is not filtered enough and will ruin the valve.
Sorry it is so long winded, hope this helps. If you have any other questions PM me.