Have a look at this question (Help in determining the features of an unusual, fictional star system) for one possible hypothetical scenario in which such a planet (or a satellite) could exist.
For a satellite of a giant planet, there will be tidal forces, sure, but after a few hundred million years of formation of the system, it is likely that there will be tidal locking due to the dissipative forces within the satellite, which will ensure that the effects of tides are minimal after that (or, in other words, the effects are 'static'). On a related note, I do find it interesting that Io isn't tidally locked to Jupiter yet, but this is a different question altogether.
On the other hand, I believe it actually helps to have a Jupiter-sized body around as it drives meteoroids away from the moon you live on, making life a little safer (this might be wrong, but I think this is how it will work out; also, this does not help if 'panspermia hypothesis' turns out to be correct).
Having multiple planets nearby, as shown in the picture, is a little more difficult due to many body systems not being very stable. You could possibly have a binary planetary systems and life in the moons at Lagrangian points, but it is very likely that such systems will lose some of their bodies due to perturbations from other planets or similar second order effects due to them being unstable. You can have a moon revolving around the binary planetary system some distance away as an alternative, which would be fairly stable, I guess. However, with the current planet formation hypotheses, it seems very unlikely that you will have large planets near each other, since they won't be formed in the protoplanetary discs in a way that they don't coalesce to form a single larger planet.
Also try this: http://www.stefanom.org/spc/ . You'll soon realize that having many planets close by, in a stable system is difficult.