Question: [Here are some antonyms for lonely](http://www.thesaurus.com/browse/lonely):

```
populated
sociable
befriended
close
frequented
inhabited
loved
unlonely

```

Basically, by lonely I mean someone who feels lonely even in a crowd. Such people are usually depressed. They feel happy if *anyone* gives them some positive attention.

These people want a man in their life and they actively seek mates. Whereas a person who is comfortable in her own skin won't have to go on looking elsewhere for attention and love since they are enough for themselves.

What should I say when I have to say I want someone who is ....?

Answer: 
Now that I read your added description

> 
> ...won't have to go on looking elsewhere for attention and love since they are enough for themselves
> 
> 
> 

I'd suggest *a person who has a strong sense of [self-esteem](https://en.m.wikipedia.org/wiki/Self-esteem)*. Self-esteem is what the world desperately needs since many problems starts when people don't see themselves as worthy e.i. they don't love themselves.

However, I find it rather hard to put this psychological concept in an adjective, [self-sufficient](https://en.oxforddictionaries.com/definition/us/self-sufficient) which means emotionally independent and [self respectful](http://www.thefreedictionary.com/self-respectful) which basically means having self-esteem could be the candidates.

Again as previously I mentioned in my comment, if you mean a person who's happy and you can have fun with *cheerful* is a good choice of word.
In dating speak, it's

> 
> sociable 
> 
> 
> 

In corporate speak, it's

> 
> a people person
> 
> 
> 

It's basically a person who is comfortable interacting with people and possibly crowds. Not necessarily an *extrovert*, but definitely not an *introvert*.