Actually, LOTRO isn't really about flower-picking, not any more then WoW is.
On average per starting race/location, you get right into killing enemy npcs as soon as you start, and go after goblins and orcs anywhere from level 5 to 15. At level 20, you go into skirmishes, which are instances you or a fellowship are exclusive with. Very high-level difficulty.
I highly recommend LOTRO.
The topic: role-play content in MMOs.
What you answered with: the gameplay mechanics in an MMO.
Sorta missing the point there, Nathan.
That said, I can't say I've seen much in the way of "flower-picking" in LotRO's RP. What I have
seen is a lot of relationship drama (who's fucking who and why they're doing it), overblown attempts at villainy (if I have to hear one more plot to take over/destroy Bree, I'm gonna have to slap somebody), and surprisingly organized guild activities and location-relevant events (dance and drinking competitions at the taverns around Bree, mainly, in the latter category). Like any other MMO it's partly a you-get-out-what-you-put-in situation, but it's at least a fairly good atmosphere for RP, depending on which server you choose, in that it has considerably less griefing than I've seen in most any other MMO. Even Champions Online had people stomping over RP events more often than I've seen in LotRO's publically-broadcast gatherings.
Plus, it's gone free to play now, so if you're just looking for an RP arena (as in you're not playing to raid and max out, which would almost certainly involve paying something into the game at some point) it's very hard to beat LotRO as far as 3d visuals go for that kind of fun.
Has a fair list of drawbacks and weaknesses as well (chat buffer size, extremely limited character creation options, existence of hobbits, etc.), but all in all it's probably the top of my list for MMO RP recommendations. Hard to argue with Free as the price tag to give something a try and see if you like it.
Other MMOs I've tried where I found RP: Star Wars Galaxies (years ago, before they did the whole combat overhaul thing) - so-so quality, almost entirely sex-oriented for some reason (I suspect the Dancer job tree and associated clothing is responsible); Champions Online - very hit or miss; some groups and individuals are quite engaging, others are, well...vampire emo goth demon heroes who save the world with bazookas because murder is cool, man...yeah; City of Heroes/Villains - see Champions Online; Everquest - almost nonexistent, basically restricted to finding a few interested individuals and making what you can with them.
All in all, I can't say MMOs are my first thought when considering online RP venues. They are almost universally games before they are role-playing stages, meaning most of the players are there for the gaming and not the opportunity to roleplay and the mechanics support that mindset, meaning if you're there to RP you're in the minority and it will quickly become evident that this is the situation. If I had to pick one, though, LotRO would be it.