We've had good results with the Sony & Samsung tvs we used to upgrade ours back in 2008. I see no reason why other brands, e.g. Visio, Panasonic, LG, etc. would not work as well.
There are two basic approaches to installing the new tv - I call them inside and outside the box. You factory tvs were probably "inside the box",meaning they are recessed in a wood cabinet and partially covered with wood face trim. That means the outer dimensions of the tv you choose have to fit inside the cabinet. An alternative is to mount the thin LCD tv to the outside face of the cabinet rather than inside. This is practical because of the thinness and the VESA-standard mounting holes on the rear of the tv. You can use a commercially-made VESA mounting bracket, or make your own as I did. You can use the mounting holes to bolt a sturdy board to the back of the tv and screw that board to the cabinet somehow. The exact method depends on your tv and the cabinet structure.
You may also want to cut down the size of the existing cabinet if it currently has a tube-type tv to reduce/eliminate how much it protrudes into the room. I was able to reduce mine by about 12".