Is Nikon a good choice?

I want to buy a new camera and I'm considering Nikon. Above all, it's important to record some videos in HD (1080p preferably, but 720p is not bad). What do you think about that? Is a good choice?

Not bad, but I'd consider Sony as well - their SLTs have a definite edge for video.

Of course, the most basic video camera will blow either out of the water, but it's your choice.

Nikon doesn't make camcorders…

Canon, Sony and Panasonic all make excellent camcorders. Check their websites to see what you can afford.

If you're thinking about buying a DSLR for video recording, DON'T.

You forgot to mention whether you're interested in buying a Nikon dSLR, bridge/superzoom or compact camera. If considering a bridge/superzoom or compact camera (and image quality is very important to you) you should avoid models with too many MP.So, avoid their newest models with 16MP because they will produce worse image quality than 10-12MP models. That's because their image sensor is very small.

To see how a particular model performs (image/video quality) it's best to read several reviews of the same model, so you can get a good idea of how they really do perform.
Here are a few good reviews sites…
http://www.dpreview.com/...eview.com/
http://www.cameralabs.com/
http://www.imaging-resource.com/
http://www.dcresource.com/

Of course with DSLR's video is something most these days can also do, but not something they do great. Anyway if video is something you want to do a lot, but not enough to spring for a real video camera, some of the Sonys seem to have the edge with the semi-flective mirror that allows constant auto-focus. The new Canon T4i and the new Canon EF-S 18-135mm f/3.5-5.6 IS STM lens for it is claimed to have better-than-ever live view autofocus, and so it might compete well against the Sony for video, and (like Nikon) could probably beat Sony for stills.
However, while there are now T4i bodies becoming available, I don't think the new STM lens is available yet. The Canon EF-S 18-135mm IS lenses currently available are the older non-STM model which is not optimized for video. If the catalog item is not explicitly identified as the STM model, then it is not.

If stills are a high priority, and video more of an afterthought, the Nikon D5100 or D7000 would be fine choices.

Nikon makes great dSLR's. Their point-and-shoot and bridge cameras however aren't. That's what I think.