Depending on the
kind of fanservice you are expecting, any of the series may, or may not, have "over the top fanservice".
The first season has a bunch of detailed shots of mecha and their workings, not to mention military vehicles like helicopters and such. For mecha fans,
this is fanservice.
But the other posters here have pretty much covered the amount of the more common type of fanservice (i.e. T&A). The animation company that produced the first series, Gonzo, is pretty well known for copious amounts of fanservice in their projects (Burst Angel, Kiddy Grade, and Gravion to name a few). FMP is pretty tame in comparison. There are a few panty shots, and a couple of "nude" scenes, but it shouldn't detract from the story.
Fumoffu and The Second Raid (TSR) were produced by Kyoto Animation, the studio that worked on Haruhi, Air, and Kanon, among other things. While Fumoffu, being a comedy series has the possibility to focus more on fanservice, IMO, it doesn't have very much more than the first series. KyoAni is kinda weird in that they rarely use panty shots (and when they do, it's very quick), and they may show the occasional jiggle, it's never excessive. On the other hand, when they show skin, they go nearly full-out (Fumoffu's hot springs episodes and the final episode). Of course, it's for comedic purposes and naughty bits are always covered up or obscured -- often in very amusing ways.
TSR is a more serious series and while there isn't much traditional fanservice (a shower scene, IIRC), it does have some sexuality. But it's never gratuitous (remember, kids, the series was shown on broadcast TV!).
For shows with "over the top fanservice" I suggest watching the aforementioned Gravion and Burst Angel, or Godannar, Agent Aika, or Najica Blitz Tactics for proper examples. Actually, there's a good chance that other things will bother you as much as the excessive fanservice in Gravion that you'd want to stop watching it. Like a meandering and derivative plot, inconsistent animation, annoying and poorly developed characters, etc. The same could be said about Aika (which I haven't watched) and Najica (which I have), although the animation is better, the excessive amount of panty shots is hard to take (even if taken as a gag).
Godannar, once you get past the fact that nearly all the female characters are well endowed and body parts move (heck, even the female-shaped robots jiggle!), has an engaging story, the animation is good, the characters are interesting (if a bit clichéd), and if you are a fan of old-school super robot shows where the characters call out their special attacks in dramatic fashion, has the other type of fanservice I mentioned earlier.
