I'll second the recommendation for Cities in Flight by James Blish. Another Heinlein that I strongly recommend is Sixth Column. While Honor Among Enemies is an excellent book, it's 6th in the series and I personally don't like to read series out of order. You might start the series with On Basilisk Station.
Other excellent SF include Remnant Population by Elizabeth Moon, The Mote in God's Eye by Jerry Pournelle and Larry Niven, Dune by Frank Herbert, Forty Thousand in Gehenna by C J Cherryh, and Iceworld by Hal Clement.
And, don't overlook the masters of SF, among them: Arthur C Clarke, Isaac Asimov, Ray Bradbury, Poul Anderson, Andre Norton, Anne McCaffrey, James White, Roger Zelazny, and Alan Dean Foster.
I'm sure other SF fans will have other books and authors to recommend -- and on another day, my own list would be different. You probably won't go wrong if you read through the Hugo and Nebula award winners.
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