Just an addendum to that suggestion.
The Cyberiad was the inspiration for Sim City and, eventually, the first version of
Civilization.
Really? Do you have a citation? For
Lem I would recommend
Solaris. That's my favourite novel of his. It's a lot different than the Hollywood movie version.
I would recommend anything by
Iain M. Banks, especially is "Culture" novels. They aren't really meant to be read one after the other, so you can just buy a random one and go to town.
The Algebraist was the first novel of his I read, and I really liked that one.. However, I found the middle to drag on for a bit too long. Even so, it was a good book.
If you want to read something by my favourite Canadian sci-fi author,
Robert J. Sawyer.. I might compare to.. hmm.. Crichton maybe? He writes very engaging stories that you could easily picture being made into motion pictures.
Calculating God was a great book by Sawyer, I would recommend that one.
Another great sci-fi author..
Margaret Atwood.. Not everyone's cup of tea, but
Oryx & Crake was an amazing book that to this day is in my top 15. The author is a bit pretentious, but her written work is very good, especially the sci-fi.
You likely know of
Isaac Asimov. One of my favourite books of all time is
Nightfall. He wrote it with some guy whose name I can't remember. Great read!
The Hyperion Cantos by Dan Simmons was an interesting story. There's some really interesting things going on in here, but a bit too much of it was.. I don't really know how to describe it, but I didn't like all of his "big picture" ideas.. Way too may coincidences. He does a great job describing individual events though.
The Time Ships by
Stephen Baxter was an excellent sequel to The Time Machine.
Spin by
Robert Charles Wilson was a memorable read, although I couldn't tell you any details about the story anymore. There is a sequel to this book I've picked up but haven't read yet.
Pastwatch: The Redemption of Christopher Columbus is IMO the best book
Orson Scott Card ever wrote. It could just be me though, I like alternate history stories involving native (north or south) Americans. I also quite liked the
Earthcoming series by Card, but know that it's heavily inspired by the Book of Mormon. I had no idea, I read the story and loved it even before I knew what a Mormon was, but FYI
The
Rama series by
Arthur C. Clarke is worth mentioning. I loved the first couple books in the series. The last one gets stupid though, and for no reason explains everything in a stupid way that ruins everything. But still a fun read.
This is spinning out of control so I will end it here. I did not include obvious classics like Dune, etc.