I like dominator's when they do their job properly.
They pack some serious heat with two large ballistic slots, fix forward sadly, three medium missile slots and two supporting medium ballistic slots, with a spread of small ballistic slots. In a slugging match this ship has the fire-power and armour to out-punch anything less then a capital ship in short order, with a burn drive to keep them pursuing retreating foes.
It is extensively inflexible however and loses the vast majority of it's fire power against fast foes that possess decent point defence, like most high tech ships and carriers. Which can make it a liability on the kind of battlefield where it can be surrounded and outflanked, or when facing an opponent it isn't equipped to defeat. (too much flak, or too little)
The eagle possesses far less fire-power, in my opinion, with three fixed forward medium ballistic slots, three energy mounts, two small missile mounts and a spread of small energy mounts. It doesn't really have the stats to use all of it's mediums all the time without downgrading them. It has a superior shield, but inferior armour. It worse in a direct slugging match in my opinion.
But it isn't slow as all hell, and can easily move to match the changing battlefield with the fire-power needed to at least duel most other cruisers while still out-shooting anything smaller then it. It is the best tactical cruiser in my opinion as it is a package that does it all, shoots and scoots without entirely skimping on defence. The quintessential cruiser that all others are compared too. It won't match up to a capital ship, but it also isn't going to be as easily hurt by mispositioning it's self like the dominator often does. Often the biggest advantage in a battle is being able to act and react faster then your opponent, part of which makes fast frigates and safety override'd ships so threatening, the ability to act faster then can be accounted for. The eagle certainly isn't the fastest mind, but for what it is packing in terms of attack and defence, it's the best that can be expected for a ship still carrying ballistic slots.