Well that's a bit like saying "I quite fancy listening to some music - I wonder if you could recommend some"
SF is actually a rather odd sort of genre, because it's mostly used for two entirely different things - a generally scientific exploration of some sort of "wacky" idea (faster-than-light travel, or artificial intelligence etc, ), or as a metaphor for some aspect of society but taken to extremes (the surveillance society, eugenics etc.)
The first is often known as "Hard" SF, not because it's difficult but because the author is generally more interested in the scientific principles of the idea, rather than little details like character and plot. This is also amongst the most rapidly out-of-date, since it is usually based on what was a cutting-edge idea at the time of writing - and that idea is often either disproved or simply overtaken by events (almost any pre-70s SF story that features a computer, for instance!)
The second are the ones that are most often accepted into the mainstream of literature because the science-fictional elements is usually background, assisting the plot but often not seeming utterly implausible. A good example here would be Orwell's 1984 which is clearly science-fiction in its setting and technology.
However, both of them are definitely SF unlike Fantasy Science Fiction. This is stuff like Star Wars or Doctor Who, which frequently has a futuristic setting but with no pretence of making the technology consistent or workable. But at least it usually tries to make it feel like technology rather than magic. Serious fans of SF tend to dismissively refer to this as "Sci-Fi" or even Skiffy (even though I suspect that we all rather enjoy it, rather like a "guilty pleasure." Or maybe that's just me?
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All of that is attempting to avoid the question, of course. What I am saying is that SF is such a massively broad arena that recommending something that you will like (unless I know you very very well!) is almost impossible. And I also think that if you discover SF when you are young, you will tend to have a very different tolerance level to it than if you are an adult; it may be something to do with acquiring a different sort of suspension of disbelief. And that's not even getting into the whole category of "world building" which is something that both Fantasy and Science Fiction excels at, but which strains the patience of a lot of readers, who can't be bothered with having to assimilate masses of what appears to be utterly irrelevant stuff.
I did a quick web search, and came up with this page which is a pretty good list (with some good explanations for the choices too) - if you picked some of these, you would probably get a good idea of how massive this field really is.
http://www.studentgroups.ucla.edu/enigm ... ry/sf.html
Saw a one on the 'sale' shelf at the library a couple of months ago and grabbed it - still good fun 
something must be wrong..... 
(I could do with another snow day...) 