Another fun one to try is Trovic Nilloba. The very first JF unit is still one of their best, with a possible 9-click alpha strike. I like to use other Mechs to cover his approach as cover, then step him in front and deliver a massive salvo into the toughest Mech my enemy has- then step something in front of him again and let him cool down in peace. Very basic tactic, but why mess with success?
Shamash hovercraft are surprisingly useful little bastards as well- don't use them as tanks, though. Use them as cruise missiles- at just the right moment, streak out from behing blocking terrain and crash into an enemy Mech, preferably one that is shut down if you luck out with TSEMP or something fun like that. Seems like a waste of 50 points until you try it out- then it becomes hilarious.
The JF Clan Battle Armor may be the best infantry in the game. Really- there's good ones out there, but that ridiculous movement means the Falcons don't even need an APC usually. You can be in base contact and ruining someone's day before they even realize what happened. And a unit that has these little monsters grappling with it is ripe for other attacks, like Shamash charges for example.
And lest we forget the Thor. Yeah, on it's own it's not the best Thor out there (that honor probably belongs to the Wolf Hunter Thor, I admit). But with the right gear, it can turn into an absolute terror. And while the heat dial is a little unforgiving, the vent of four (like most Falcon Mechs) means that it's right back in the fight in moments. It's hard to take advantage of a Falcon force's heat problems since they get rid of the waste heat so fast.
There are duds as well in the Falcon army, same as anyone- the Zeus comes to mind, for example, as well as the Koshi and Long Tom (seriously? Our artillery has HOW long of a range?), but to sell the Falcons short as being Lokis and crap isn't fair to them.
And I'm not even going into Black Rose, the Falcon faction set, or any of those goodies. Mostly because I'm in a hurry to go use some Jade Falcons on my Saturday. :P