Well...I tried my eldar fleet this weekend and it rocks.
In my fleet I have the following squadrons:
1 Battleship (Void Stalker class)
2 Eclipse
2 Eclipse
3 Hemlocks ( to pick off stragglers )
I was defending on a surprise attack against an equal 1500pt Imperial fleet. He brought to the field his BS and only cruisers.
I had 3 sets of mine fields that I used to hide my fleet with as well as asteroid fields.
20 fighters or bombers...sounds great...wrong. I ran out or ord on everything after only launching 2 waves.
Those fighters and bombers were able to cripple 2 ships. The majority of my fighting was won by the fact that I could move out of cover and fire a total of 15 lance shots(plus rerolls) and a str8 WB at any given ship as well as orbital mines that were able to detect ships.
The game only lasted 4 turns and in those 4 turns I had completely destroyed his entire fleet while only receiving 2 hemlocks being destroyed and a crippled BS (this was due to the fact that I underestimated his range when I moved and opted not to hide him in the mine fields.)
After 1 game I have a renown of 20 which gives me 2 rerolls which should help out greatly given the fact that I am heavily dependent on my ord. But being able to hide was an even better asset.
REMEMBER...if you are getting torn up...it is better to flee than return to the next battle with an entire fleet with leadership 6.