depends i have tested both if you are talking about overall note 2 always wins.
1. BATTERY LIFE
Note 2 has a 3100mah battery while the 920 have a 2000mah when i said heavy usage i would use it from 100% until the phone battery died not like some forumer in this forum they tell you 20mins call 30sms 30 whatsapp message and some facebook can roughly last a day.

When u push its limits to the max you know average how long it last on battery life note 2 wins since then i have never bother to worry about battery life furthermore back then on my lumia 800/900 i need to turn off 3G or else the battery will deplete even faster.

So conclusion for battery life Note 2 wins if you monitor the statsitic even its a quad core its not always running at 1.6ghz but only when its needed thats one of the way to extend its battery life
2. CAMERA
Nokia Lumia 920 have a float lens and OIS with this two is enough to beat Samsung Galaxy Note 2 camera even using BSI Sensor.

Here some random test shot i did Lumia 920 vs Samsung Galaxy Note 2
http://forum.lowyat.net/index.php?showtopi...post&p=56629039

So conclusion Camera in photo imaging and video recording goes to Nokia Lumia 920
3. AUDIO
I have tested the Nokia monster headset on both Nokia Lumia 920 and Samsung Galaxy Note 2 the audio sound alot better on Note 2 because it has a wolfson audio chip built in. The audio on the Nokia Lumia 920 sound very dull and low regardless what you do.
http://www.gizbot.com/mobile/samsung-mobil...-galaxy-s3.html

So conclusion the winner goes to Samsung Galaxy  Note 2

5. SCREEN SIZE


Since i used the Note 2 it becomes more like a phablet a phone comes tablet so everything looks sharp and clear due to its huge 5.5inch screen visibility while browsing is just great , video play back is amazing. Battery life is also great you can watch 4 to 5 of continous video and still have plenty of juice left. Try it yourself

So conclusion It depends on individual some prefer smaller screen as a phone some like me prefer both world into one.
6. SCREEN DIRECT SUNLIGHT VISIBILITY
For direct sunlight test Nokia Lumia 920 wins due to its clearblack display technology its sharp and clear in most condition unlike note 2 it uses brightness to compensate resulting in heavy battery drain.

Conclusion Nokia Lumia 920 wins
7. WRITING S-PEN


2012-11-01-5395.jpg by JTproductions, on Flickr
S-pen can do many things like screen hovering over icons, take screenshots, handwriting recognition, crop images and etc watch the above video the learn more while the Nokia Lumia 920 you cant do all those but you can use anything even wearing glove to become a stylus.

Conclusion Samsung Galaxy Note 2 wins here

8. MULTITASKING


In multitasking clearly samsung galaxy note 2 is superior you can even have multi window. If you dont close the apps it will stay running in the background like your computer and multi window like the video you can like send sms while watching watch your youtube video or web browsing and watching video, and many more combination of your choice.

Conclusion : Samsung Galaxy Note 2
9. HOMESCREEN

This part is very subjective because Note 2 you can customizable widgets, icons , various pages and etc when Nokia Lumia 920 you can only do tiles and only 1 way scrolling. Dont forget samsung galaxy note 2 can even add live wallpaper in the background. Some ppl will say you add background the phone will lag from my experience my phone is using live wallpaper and i love it without experiencing any lag.

So conclusion : it depends on invidiual taste for me i prefer samsung galaxy Note 2
10. NETWORK
Nokia Lumia 920 wins because its LTE ready when the samsung galaxy note 2 international version GT7100 available in malaysia do not support LTE

So conclusion goes to Nokia Lumia 920