For intermediate and advanced flutists, Paul Edmund-Davies has put free "Finger Gym" exercises with explanations on how to play them, all on his site called "Simply Flute".
Here is a pdf of the Finger Gym for printing.
If you're a novice or intermediate player or are just re-commencing, after a break, see these super fun practice pages with trill chart and all the best hints. Go to: "How to get faster fingers."
If you use both these printable pdf resources, and play absolutely
S-L-O-W-L-Y and loosely, just sensitive and slow enough to truly focus on finger facility for just a few minutes a day, you'll be one fleet-fingered duderoo. :>) Don't do too much in a day. 15 minutes is fine for finger focus. Stay loose. :>)
Finger Gym Exercises by Paul Edmund-Davies at his blog (more dots per inch in jpg).
No. 1 No. 2 No.3 No.4
Good terminology question from comments below:
What is "long" B-flat?
Thumb, LH1, RH1, D#lever or:
1 | 1 4