Of this week's top contributors...

Pretty much what this community is about now, asskicking and greedyness. I'm not a saint either so.

Anyway try going talking to people, and maybe you get acsses to the private giveaways.

Private giveaways exist, you know. And if you'll look at the stats page, you'll see the value of private and group giveaways per day is pretty high as a general rule.

Click here to see value of group/private/public created

I'm sure that there are lots of groups and other places that use this site to give games. For example I gave some games on my page before I discovered this site, but once I did it was easier to move things here, because the infrastructure is built for it. While I posted some public giveaways, the private ones posted on my page are higher value.

Besides, the top contributors list has just 10 people in it. I can easily imagine there being more than 10 groups.

somewhere like this place

In the same boat as you OP.
It's fair enough that they exist though, with the site going public and all.

However it seems to the majority of said groups only invite on a ¨We will invite you, don't ask us for invites¨ basis.
Makes sense I suppose if it's a group from another community though.

Most other groups I've seem to have a lot milder entry requirements and you can even find some on the forums I think though the easiest ones usually tend to be filled with ¨leechers¨ often including the creator of the group which is a shame.

If I were in any private giveaway groups I could probably tell you more and point you somewhere but sadly I'm not.

If you're enough of a neckbeard, you'll be invited to one of these circlejerk groups who do most giveaways in no time. Most gifters don't like making public giveaways because people are usually ungrateful.

Generally if you gift games you get games gifted back.

So make some private giveaways, give the link to group leaders and be invited to those private giveaway groups.

How do I give games away?

Not all of them require entry in some sort of occult society. There has been 20+ private giveaways in the PUBLIC S.Gifts chat this past week, and that's just what I've noticed and I'm not the most active in there.

If you really do want to be part of some goat sacrificing occult society that's actually fairly easy though.
1.Giveaway some games.
2.Be active in forum and chat.
3.???
4.Profit!