It would take the mentality of a very young child, presumably somebody who has never played the LEGO Tt games before, to find enjoyment in them.
LEGO Tt games are "fun" because they use Overrides. This general concept is also used by the likes of Farmville, and soulless corporations like King.com and Zynga make active use of this technique. The basic psychology is that our brains are hot-wired to reward dopamine (the chemical responsible for happiness) in exchange for when we believe we've accomplished something significant. How do we know that we've accomplished something significant? Feedback. A really easy way to do feedback (the Override way) comes in forms of particles, flashy text, loud sounds, fast movements, colour changes and other effects. Essentially, you smother the brain in a very loud atmosphere when the player completes a basic action, and the brain goes nuts for it, driving them to do it more. This is exactly why people can sit down and play those handicapped Facebook games for hours on end and send you a million invites.
The basic mechanic in any LEGO Tt game is the melee smash. When you smash something, there's multiple explosion effects (of the object falling to bits and the studs flying up in the air), the studs are flashy and variantly coloured, there's that explosion noise and then the splash of sound from coin pickups, the coin text increases in size for half a second when a new coin is added to the purse, and then you have the yellow bar doing special effects as it begins to fill up. It's sensory overload to distract you from the fact that all you had to do was press a single button with NO logical thought whatsoever.
If Star Wars I was its own game, and the last of the formulaic games, then I wouldn't be making such a fuss. There's been PLENTY of awful LEGO games, and Star Wars isn't near the bottom of the list. The problem is that with each incarnation, they have to keep increasing the visual effects and flashiness to prevent players from building an immunity to the same, constant sensory overload you get every time you collect something in that game, because they're incapable of now adding meaningful and challenging game mechanics, as the entire formula is extremely unstable. That is not the only issue with the formula (there's many), but it's at the very top of the list.
By admitting you enjoy LEGO Star Wars as much as you do, you're basically saying that you're the kind of person who would also get a pick out of downloading a stack of Clash of Clan clones on the Android Play Store.