This is more of an addition to Ostrinaut Ozzy's guide above as its great but I was a little confused as to the best way to get bomber and UCAV kills and although I'm not bad at flying/evading with jets, i'm definitely not great at getting kills and found the Jet Ribbon difficult to get once, let alone 3 times. Note that at the time of writing I don't have this achievement and only have all the jet ribbons out of what i've talked about above, but after I worked out a decent method over the last 2-3 hours I should have it down tomorrow or the day after.
Bomber kills I believe have to be done on Conquest mode on China Rising maps. I would recommend playing hardcore even if you don't normally and just shamelessly camp around the bomber control point at C flag. As long as you get a "splash" or hit marker on hardcore (I know they don't show in hardcore but by core standards) with this, it's almost certainly a kill. It can be a bit problematic as its quite often down to raw luck of where the enemy is once the bomber launched and on Silk Road in Particular, there are large parts of the map where enemies will probably be but you can't traverse the sight round that far or it will say the weapon system is "out of range". Just persevere and play a lot as there isn't any better way without boosting. Basically if you see a stationary target, spam all 4 JDAMs into it and cross your fingers.
UCAV kills are by far easiest when attacking on Rush. Set up a reasonable distance away from the enemy positions as because the UCAV is tube launched, it will cover a lot of ground upon being fired after which you have 10 seconds to drop it on a target before it self destructs. There is no need to play hardcore for this as the explosion will kill in one as long as it's within 3 feet or so. Don't target vehicles unless you know its been substantially damaged already as although it will deal 50-60 damage to an MBT, by the time your UCAV replenishes, the tank will have recovered from its damage. The reason I say Rush is that you will have the whole enemy team consolidated in a much smaller area (particularly at the first base) than in any other game mode and as the defending team, enemies (particularly Recon and Support players) are likely to be stationary, bipod down, dug in at firing points meaning you can just drop the UCAV straight down on them without much risk of missing. As long as you stay far enough back, unless you come up against a very skilled defensive team which favours an aggressive "counter attack" type defensive play-style (which with Rush being my go-to game type since BC2 is highly uncommon-most teams will generally just dig in around the M-Comm stations) you shouldn't be getting killed too much and can just sit back, fire UCAV, get kill, wait for it to replenish and rinse and repeat. DO NOT UNDERESTIMATE HOW FAR THIS THING LAUNCHES FROM THE TUBE. I wasted ages trying to work out the range but believe me it launches quite a distance and it's easier and quicker to walk a few metres forwards if its exploding early than keep trying to circle the UCAV back on itself because you are overshooting.
Lastly the easiest way to get Jet Ribbons I found was:
a.) If you are a confident pilot who can outgun most other players in the air like a friend of mine but not me; just go play a few rounds of Air Superiority and you're golden.
b.) For the rest of us, I recommend playing conquest on a map with ground attack jets and target "soft" vehicles such as Buggy's and Quads with AGM missiles (The ground attack jet's default missiles). Even in core as long as you maintain lock and the missile reaches the buggy, it will always be a one hit kill (on the Chinese and Russian Buggys anyway, the American MRAP, which is actually an armoured car rather than a buggy has sometimes taken one hit from me, sometimes it's taken two so i'd recommend firing both to be sure). Just keep (A-10 Wart?)hogging the ground attack jets and hitting those targets and you should be fine, just watch out for other pilots trying to spoil your fun and don't be afraid to use the cannon in conjunction with the AGMs against MBTs for kills too-it should take both missiles and a full burst from the cannon to knock a tank out.
Alternatively, and this is a bit hit and miss but it worked for me for one ribbon, grab a jet at the start and rush the enemy spawn, a lot of players usually jump straight in the transport chopper for a quick way out to the centre of the map at the start of the match and if you are lucky the chopper might be at full capacity with 5-6 enemies on board. If you just leather the chopper with your cannon or if the pilot is inexperienced and doesn't use flares you can quite easily knock it down for 1 ribbon plus 1 extra kill in one fell swoop with both heatseekers and a cannon burst.
Happy hunting guys.