I'll use this space to answer some questions and remark on some info I got by email numerous times. Most of this can be found in the updated Jurassic Bark Capsule.
In the scene where Fry is in the Cryo Labs, there is a Nibblonian Eye in the waste basket.
A bit later one can see the shadow of a Nibblonian just like in Space Pilot 3k. However, there is a second shadow this time. Wait for "The Why of Fry" for the solution to this.
The song at the end is "I will wait for you". It was composed by Michel Legrand and sung by many artists. This version has Connie Francis.
There are many stories about "dog waiting for owner after death for many years". One would be Old Shep, another Hachiko.