I've never seen a DSLR with automatic zoom.
That said, look for used DSLRs. Usually people try to use them as point and shoot. Use them for like, a month then they sit on a shelf. Then they end up on Craigslist for a discounted price. Of course shop and compare to KEH but you can get some deals. DSLRs are like bumpers: Fine unless they've been hit. So look over a used unit. Test it out. Bring a laptop/tablet to see the images on a big screen. But seriously, tons of great, used cameras and camera equipment out there. Just check the used section of Adorama or KEH. I love KEH, bought a bunch of used crap from them. However I mainly cruise Craigslist.
There is so much out there and considering that the newer DSLRs are producing slightly better images (unlike 10 years ago when the next generation of DSLR was lightyears ahead of the previous generation) than their predecessors, you can get a last generation for a decent price.
Heck, a D70s can be had for $200 or less. Its the fast-sync king but few know that. Keep it at 200~400 ISO and no one knows the difference.
One thing you need to remember. A point n' shoot is like a Prius: it has one button and one lever and you go. A DSLR is like a F1 car: the friggen thing is covered in buttons with LED lights blinking at you and all that crap. If you just want to get to a place, the Prius will work just fine. If you want to kick some butt, the F1 car is what you want...IF you have the support, practice, and skill to use it. Just like an F1 car, just because you have a DSLR doesn't mean you automatically take better photos. I have people come to me saying, "I paid all this money for this DSLR and it doesn't get great photos!! Its broken I'm sending it back." One quick look at it shows its set on full auto. So the camera is shooting at like, 6400 ISO and the area focus always finds the wrong target. Switch it over to manual point focus, aperture priority and images get better. Throw them into photoshop elements and things are looking even better.
However, I digress.
Also that 18-55 lens, while optically it is a good lens (also very handy, I have one in my bag just in case I need a normal/wide-ish angle zoom for whatever specific application I've got), you will probably be disappointed in it. I'd recommend looking for a 18-105 or a 18-135 (can't remember if one replaced the other, or whatever) lens to go with your first DSLR. You'll love the extra zoom it gives. Also all of these new lenses have VR in them. Which is great.
Sorry for the rant. Just wanted to give you some perspective. Sounds like you are looking for a "fixed lens DSLR". Once again, check Craigslist as many people buy these then upgrade to a DSLR. Once again, look for a previous generation to save $$$. I cannot give you any advice on which manufacturer or model. Canon used to make great point and shoots. Now it seems like the S and the G series are the only good ones. The G10 was the bomb a couple years back. Also Nikon has gotten their act together on the lower end cameras as well. I'm not really a fan of Sony anymore and never was a Panasonic fan (personal preference, I'm sure they make good stuff).