OK, here are my fleets.
Chaos
I went mad on ebay and ended up with the following. It's short one cruiser to be fully legal; once I have a better feel for what I like (and if I ever play a game that forces me to field more than 11 cruisers), the styxes and hades will go on the chopping block & downgraded to cruisers of some sort.
Battleships
1 Despoiler, the Requiem Prosperii, led by Warmaster Mephiston of the Thousand Sons, patron of the wronged.
1 Desolator, the Eternity of Pain
Grand Cruisers
2 Repulsives, the Grievous and the Wolfsbane
1 Retaliator, the Reprehensible, led by Lord Dario, blessed of Slaanesh
Heavy Cruisers
2 Styx (unnamed)
2 Hades (unnamed)
2 Acherons, the Wretched and the Malevolent
Cruisers
4 Devastations, the Unholy Absolution, Warlock, Maligned, and Detestable
4 Carnages, the Bereaver, Unrepentant, Reprobate and Ruination
3 Slaughters, the Refuge of Agony, Animus Domini, and Despicable
Escorts
12 of various sorts rotting in my bitz box because they're ugly as sin. 4 more Ork ramships that I use as any type of escort that toots my whistle at the moment.
Adds up to (very roughly) 5000 pts.
Eldar
My first fleet, bought to go along with my 40k eldar. The giant-butterflies-in-space look is pretty, but I dislike how they play.
1 Eclipse
2 Solaris
2 Hellebores
1 Aconites
7 Hemlocks
6 Nightshades
Tyranids
My favorite fleet, currently on hold while I agonize over a paint scheme:
2 Hive ships (one metal **** ship, one converted from 40k bitz)
3 Cruisers
17 Escorts
Imperial
Cruisers from the boxed set. These serve as loaners when my opponent doesn't have a big enough fleet of his own.
1 Mars
1 Dominator
1 Gothic
1 Lunar
Currently debating between Space Marines & Commerce Protection as my next fleet.