The Han Solo Adventures

The Han Solo Adventures by Brian Daley
Some of the earliest Star Wars novels from the 1970s and 80s, this is a trilogy of stories about the misadventures of young Han Solo and Chewbacca. Originally published as three separate books, now in print only as a combined paperback volume.

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(Combined 3-in-1 paperback)
Han Solo at Stars' End (vintage)

Han Solo's Revenge (vintage)

Han Solo and the Lost Legacy (vintage)

This is a classic era series from the Legends timeline. It will likely be contradicted by newer books, movies, or TV shows (if so, just think of it as an alternate universe).

The Lando Calrissian Adventures

 
The Lando Calrissian Adventures by L. Neil Smith
Some of the earliest Star Wars novels, originally published in the 1980s (the separate original books are now out of print, but are still available in a combined paperback edition). This is a trilogy of quirky, somewhat humorous stories about young gambler Lando Calrissian running up against threats as varied as corrupt officials, ancient civilizations, and the mysteries of outer space.

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Combined 3-in-1 paperback
Lando Calrissian and the Mindharp of Sharu (vintage)

Lando Calrissian and the Flamewind of Oseon (vintage)

Lando Calrissian and the Starcave of ThonBoka (vintage)

This is a classic era series from the Legends timeline. It will likely be contradicted by newer books, movies, or TV shows (if so, just think of it as an alternate universe).

The Corellian Trilogy

The Corellian Trilogy by Roger McBride Allen
When Han and Leia return to Han's home planet of Corellia 14 years after Return of the Jedi, they find themselves caught up in a dangerous spy game even as the Corellian system threatens to erupt into civil war. But it gets worse: A mystery left by an ancient civilization could put an unimaginable superweapon into the hands of brutal insurgents, led by none other than Han Solo's long-lost cousin!

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Book 1: Ambush at Correllia
Book 2: Assault at Selonia
Book 3: Showdown at Centerpoint

This is a post-Return of the Jedi series from the Legends timeline. Think of it as an alternate universe from The Force Awakens and newer books.

Dark Nest

The Dark Nest Trilogy by Troy Denning
When the ancient insectoid Killiks re-emerge in the Unknown Regions after the Yuuzhan Vong war, the Galactic Alliance, the Jedi, and the Chiss empire are drawn into a complex and multi-sided war. Several young Jedi Knights are absorbed into the Killik hive mind, while Luke and Leia discover previously unknown information about their mother, Padmé Amidala.

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The Joiner King
The Unseen Queen
The Swarm War

This is a post-Return of the Jedi series from the Legends timeline. Think of it as an alternate universe from the sequel movies and newer books. 

Fate of the Jedi

The Fate of the Jedi Series
Forty years after Return of the Jedi, the Skywalker and Solo families struggle to recover from unspeakable tragedy, even as their own government has turned against the Jedi. But there are bigger threats to face: A long-lost Sith tribe plots to overthrow the Alliance, even as a mysterious ancient power drives young Jedi insane before threatening the galaxy with an apocalyptic purge.

The backstory of the Sith group in this series is told in the book Lost Tribe of the Sith. Consider reading that book first to better appreciate parts of Fate of the Jedi, or reading it afterwards if you want to learn more.

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Outcast by Aaron Allston
Omen by Christie Golden
Abyss by Troy Denning
Backlash by Aaron Allston
Allies by Christie Golden
Vortex by Troy Denning
Conviction by Aaron Allston
Ascension by Christie Golden
Apocalypse by Troy Denning

This is a post-Return of the Jedi series from the Legends timeline. Think of it as an alternate universe from the sequel movies and newer books.