If you are looking for a reasonably priced camera able to shoot native 1920 x 1080 resolution at 60p (progressive frames per second) may I suggest the JVC Everio GZ-EX515?
The bit rate of the GZ-EX515's AVCHD codec is 24Mbps (24 Megabits per second), matching the bit rate of broadcast quality cameras. The 60p specification is true 60 full HD (1920 x 1080) frames per second. There is an option to configure the camera for 1920 x 1080 60i.
The GZ-EX515 also permits installing 40.5mm diameter optical filters. I am currently experimenting with the Tiffen circular polarizer, Neutral Density 0.6, and Sky 1-A filters. I purchased a rubber lens hood featuring a threaded outer ring to permit installing these filters, whilst using the hood for bright sunny days during outdoors' shoots.
This camera can shoot time lapse footage at 1920 x 1080 60p, and slow motion at a Standard Definition (SD) resolution of 720 x 480 at 250fps, on 60i setting. For some reason, JVC decided to upscale the footage to 1920 x 1080 60i when writing to the SD card; personally I would have preferred it was left at SD resolution.
The GZ-EX515 allows me to manually adjust the focus; I discovered through experimentation, this was best for shooting time lapse footage at sunset, On auto focus, the fuzzy logic algorithm tends to blur the image completely as the twilight turns into night.
Sorry for the above digression, I thought the above experiences I've had so far with this camera may be useful?
Returning to the topic of frame rates, 23.976 frames per second was selected because this was the best frame rate to allow film to be recorded for simpler post-production workflow to broadcast over the 60i (59.97 interlaced fields (half frames) per second) analog NTSC color TV system. Some Prosumer cameras offer selectable 23.976p, 24p frame per second rates, to offer the option of shooting footage for TV broadcasting (@ 23.976p) or for showing at cinemas (@ 24p).
Other Prosumer cameras, such as the Sony NEX-FS700 offer 23.976p but no 24p frame rate selection option. With a digital film/video editor offering the function, it is possible to modify 23.976p to 24p for maintaining lip synchronization.
The higher priced Sony CineAlta cameras, starting at $17,000, such as the PWM F5 and PWM F55, offer 24p cinematographic frame rates.
It's not fair to compare the GZ-EX515 with the NEX-FS700 because the NEX-FS700 costs 24 times the price, however the GZ-EX515 does provide some manual controls for focus and exposure, and SD at 250fps.