Tonight (January 3rd) into tomorrow morning (January 4th) is the peak of the Quadrantid meteor shower. This meteor shower is one of the best meteor showers of the year producing around 100 meteors per hour. Although I must warn that with tonight’s 75% Waxing Gibbous Moon it may drown out some of the fainter meteors. Fortunately the radiant of the Quadrantids is in the opposite part of the sky as the moon, so you may still get some good views.
Edit: I have just found out that there is a meteor shower from September 25 to December 6 called the Andromedids. The radiant is, you guessed it, in Andromeda which means this short bright meteor is part of that meteor shower. Currently this meteor shower at it’s peak (November 14) is extremely weak with an estimated 3 meteors per hour. These meteors come from associated comet 3D/Biela which broke up and possibly caused a large outburst back in 1872 and 1885. More on the Andromedids here for a more detailed explanation on the meteor shower.
Also something else neat about the Andromedids. In 1885 the first meteor ever photographed was an Andromedid by Ladislaus Weinek in Prague. Info from this link on Google Books, from the book Meteor Showers and Their Parent Comets. The part I think is the coolest is that this is MY first picture of a meteor ever taken, which just so happens to be an Andromedid. Pretty neat stuff!
Edit: I am now only including the time-lapse from the picture above since having all 3 available here made the blog load really slow.