The issue of a reading order for the Liaden Universe is a complicated one, because the Liaden Universe is not a single series but a setting in which many stories take place, some widely separated and some so close together they overlap. There are many possible ways to approach it, and which is best depends as much on the reader and the situation as anything else.
(The authors have some wise things to say on the subject on the Reading Order page of their own site, which are worth reading.)
Of all the possible approaches to take, I’m only going to address internal chronological order here, since that’s the one I can speak on with some confidence, having just read all the stories in that order, more or less. “More or less” is inevitable: as I’ve already said, some of the stories overlap, and sometimes you just have to make a judgement call about what order to read two things that occur more or less simultaneously.
With that in mind, here is my suggested internal-chronology-based reading order for all the Liaden novels, and then, in case the fancy should some day take you as it took me, for all the stories set in the Liaden universe.
Liaden Novels by Internal Chronology (More or Less)
Crystal Soldier, Crystal Dragon, Balance of Trade, Trade Secret, Fair Trade, Local Custom, Scout’s Progress, Mouse and Dragon, Conflict of Honors, Fledgling, Agent of Change, Carpe Diem, Plan B, I Dare, Saltation, Ghost Ship, Dragon Ship, Necessity’s Child, Dragon in Exile, Alliance of Equals, The Gathering Edge, Neogenesis, Accepting the Lance, Trader’s Leap, Salvage Right
All Liaden Stories by Internal Chronology (More or Less)
“Dragon Tide” ², “Necessary Evils” ², Crystal Soldier, Crystal Dragon, “Eleutherios” ³, “Where the Goddess Sends” ¹, “The Wine of Memory” ¹, “A Spell for the Lost” ¹, “Standing Orders” ⁶, “Preferred Seating” ⁵, “Ambient Conditions” ⁵, Balance of Trade, Trade Secret, “Out of True” ³, “Dead Men Dream” ⁵, Fair Trade, “Excerpts from Two Lives” ⁴, “Naratha’s Shadow” ¹, “Sweet Waters” ¹, “The Space at Tinsori Light” ³, “Moon’s Honor” ³, “Phoenix” ¹, “Due Diligence” ⁴, “Dark Secrets” ⁵, “Pilot of Korval” ¹, “A Choice of Weapons” ¹, “The Beggar King” ², Local Custom, Scout’s Progress, Mouse and Dragon, “Guaranteed Delivery” ³, “From Every Storm a Rainbow” ⁶, “Veil of the Dancer” ², “Heirloom” ¹, “Intelligent Design” ³, “A Matter of Dreams” ¹, “Moonphase” ¹, “Cutting Corners” ⁴, “Command Decision” ⁵, “Fighting Chance” ², “To Cut an Edge” ¹, “A Day at the Races” ¹, “Shadow Partner” ², “Certain Symmetry” ¹, “This House” ², Conflict of Honors, “Changeling” ¹, “Degrees of Separation” ⁴, “Fortune’s Favors” ⁵, Fledgling, Agent of Change, Carpe Diem, “Quiet Knives” ², Plan B, “Breath’s Duty” ¹, “Daughter of Dragons” ², “Persistence” ², I Dare, “Misfits” ², Saltation, “Landed Alien” ³, “Moon on the Hills” ², “Code of Honor” ³, “Hidden Resources” ², “Kin Ties” ³, Ghost Ship, “Prodigal Son” ², “Songs of the Fathers” ⁶, Dragon Ship, “Wise Child” ⁶, “Skyblaze” ², Necessity’s Child, “Roving Gambler” ³, “The Rifle’s First Wife” ³, Dragon in Exile, “Chimera” ⁶, Alliance of Equals, The Gathering Edge, “Shout of Honor” ⁵, “A Visit to the Galaxy Ballroom” ⁵, Neogenesis, “Opportunity to Seize” ⁵, Accepting the Lance, Trader’s Leap, “The Gate That Locks the Tree” ⁵, “Block Party” ⁴, “Our Lady of Benevolence” ⁶, “Revolutionists” ⁴
¹ can be found in A Liaden Universe Constellation: Volume 1
² can be found in A Liaden Universe Constellation: Volume 2
³ can be found in A Liaden Universe Constellation: Volume 3
⁴ can be found in A Liaden Universe Constellation: Volume 4
⁵ can be found in A Liaden Universe Constellation: Volume 5
⁶ not yet collected in a Constellation: From Every Storm a Rainbow, Wise Child, Chimera, Our Lady of Benevolence, Standing Orders, Songs of the Fathers
[Appendix]