I've heard about it before, and have confirmed that if you went down the Yes Man path in the game, instead of continuing down the Mr. House path, there is no way to drop the Snowglobes. I cannot exchange them for caps anymore, and cannot drop or sell them because they're considered quest items. I also tried going up to the stand to put them down, but you can't do that either. I believe this should be an easy issue to fix, just have Yes Man or one of his Securitrons buy them or, even easier, make it so we can place the Snowglobes on the stand ourselves (like the Bobbleheads in Fallout 3). I'm really hoping this issue get solved soon since, at the moment, I'm carrying some extra weight I don't need to be. A temporary fix would be to make the Snowglobes weigh nothing.

I feel that I just need this issue resolved more than any other at the moment. This issue should be affecting roughly half of all players as there's really 2 paths that you can go down. I also thought of a basic reason on why Yes Man might want the Snowglobes. Perhaps they second as a memory upgrade? This shouldn't really start a quest or anything, but it's a reason why Yes Man may want them (The Snowglobes themselves could be the memory, or they could hold memory which could be extracted from their bases). Either way, Yes Man could use Mr. House's remaining funds to compensate the players for turning in the Snowglobes. The current stand wouldn't make as much sense though (unless he already extracted the memory), so one in the Penthouse that's connected to the computer may make more sense.

Are you able to transfer them to a companion? If so, transfer them, then disband the companion or just let them sit there.

Do you have Xbox live? The Ign game guide with Jess Chobot shows you where you can sell them.
I've avoided this part of the game so sorry if i misunderstood.
Or is this an option you've tried and have found yet another bug?

If you you cannot trade in Snowglobes. The robot turns hostile, and is then removed from the game.

There is an easy fix. Either you don't kill Mr. House and side with him, or you collect them all, turn them in your first time up then follow a different faction. While I agree it's silly you can't drop them, it kind of makes sense in a karmic retribution kind of way.

Or you can go give them to Mr. House cause hes the one whose collecting them...

I don't care about selling them as much as getting them out of my inventory. Once you pick them up after you sided with Yes Man, they are locked in your inventory. You can't do anything with them except be forced to carry them around (adding to your carry weight). I should be allowed to collect them as I play the game, not all at once. So yes, I consider this to be a glitch/bug. You cannot transfer them to companions either or put them in another type of storage (locker, safe, dresser, etc.) and you can't just place them on the Snowglobe stand. I'm hoping Bethesda sees this topic and decides to do something about it, it really seems like an easy fix to make them weigh nothing or just remove the quest item restriction on them (just because they aren't really used for any actual quest).

Like mentioned before, it's just quest strategy, not a bug. You should mKe a point of collecting and poorly as much of the wasteland before choosing a specific and game path. That said, I am doing the snowglobes now during my second playthrough with The House Always Wins.

So it was intentional to make the Snowglobes locked items? I don't care about turning them in as much about being able to drop them, store them, or just plain get rid of them. So you need to side with Mr. House in order to get rid of these things, and if you side with Yes Man it's just "Tough luck, deal with it". Every bit of weight is important to me since I find myself using all of it up constantly (after storing and selling my stuff). The snowglobes are located in quest locations (after choosing a side), so I feel I should be able to pick them up while I'm there and not have to make a special trip.

Seriously, if you have all of the globes it adds a whopping 7lbs of carry weight. You can have 2 companions that between them can carry upwards of 500lbs. This really isn't that big of an issue.

As I said, think of it like karmic retribution. You went against Mr. House and as a result you're forced to carry around the mark of that shame for the rest of the game.

I understand that you should not have to carry around even .3 weight in quest items. You should be able to drop quest items and/or quests, but until that happens I'm sure you can survive with an extra 1-7lbs of weight in your bags. This isn't some huge travesty that's going to adversely effect the rest of your game.

Sure, it doesn't affect the overall game greatly, but it just means that I'm going to have to drop more of my stuff more often (kind of big to me). I don't like using followers either as they glitch on me (happened 3 times where they got lost in the game and I had to load up a save 30mins back), and in my opinion, it seems a little cheap using them to kill everything. I tried giving the Snowglobes to them as well, they can't carry those. It's not like I'm asking for the entire game to be changed, I just want it so (if sided with Yes Man) that I can:

a. Carry them without having to worry about weight gain (make weight 0).
b. Drop/Store them (make quest items drop-able or make the Snowglobes a non-quest item).
c. Be able to place the Snowglobes on the stand without being paid for it.
d. Have Yes Man, a Securitron, or someone else in the game buy them from you.

Any one of these options is fine with me, karmic retribution doesn't cut it.

I hardly see this as being "fixed", as it's simply part of the gameplay.
You either do one or the other... your choice.
Do one, keep adding them to your trophy perch, do the other, what's the point of searching for them?
If you get rid of the person collecting them, why look?

(*Hint: Search for them BEFORE doing one or the other and give them all at once)