I've been tracking all my summons since around the time free pulls were introduced (... I very much regretted it after tracking everything while whaling for a +10 L!Hector).

tl;dr: 123 banners, I somehow lost the Weapons to Refine (Minerva, Eldigan, Jaffar) banner, 9 5* heroes

Anyway (I have New Power/Skills to Refine kind of mixed up in naming sorry):

• Heroes with Blade Skills - 4* Raigh, +hp -atk
• CYL Top 8 (Block A) - 4* Palla, +atk -def
• CYL Top 8 (Block B) - 3* Olivia, +spd -def
• Brave Heroes - 4* Abel, +res -def
• Heroes with Threaten Def - 4* Titania, +atk -res
• Tempest Trials (To Die on the Battlefield) - 4* Titania, +def -res
• Ephraim and Eirika's Battle - 3* Draug, +def -atk
• Dauntless Crimeans - 3* Hinata, unknown IVs, I forgot to check
• Heroes with Death Blow - 4* Leon, +hp -spd,
• Tempest Trials (Moment of Fate) - 5* Ike, +def -hp
• Ninian and Hawkeye's Battle - 3* Florina, +res -def
• Performing Arts - 4* Gunter, +atk -res
• Heroes with Threaten Spd - 3* Azama, +atk -hp
• The Blood of Dragons (Block A) - 5* CorrinM, +res -spd
• The Blood of Dragons (Block B) - 4* Tharja, +hp -spd
• Minerva and Maria's Battle - 4* Gunter, +spd -hp
• World of Holy War - 4* Cain, +def -hp
• Tempest Trials (Genealogy of Light) - 4* Sakura, +def -spd
• Heroes with Flier Boost Skills - 4* Raven, +def -hp
• Trick or Defeat - 4* Ogma, +hp -res
• Short-haired Ladies - 4* Raigh, +res -def
• Long-haired Gents - 4* Gordin, +def -atk
• Heroes with Death Blow 2 - 4* Chrom, +spd -def
• Farfetched Heroes - 4* Merric, +spd -def
• Takumi & Hinoka's Battle - 4* Mae, +hp -atk
• Tempest Trials (Less Than Heroic) - 4* Lon'qu, +spd -def
• Legendary (Fjorm) - 4* Stahl, +res -atk
• Enduring Love (Block A) - 4* Frederick, +spd -def
• Enduring Love (Block B) - 4* Cain, +atk -res
• Children of Fate - 3* Olivia, +hp -spd
• Weapons to Refine (Lyn, Ephraim, Takumi) - 4* Sully, +def -spd
• Tana and Amelia's Battle - 3* Oboro, +res -spd
• Winter's Envoy - 4* Seliph, +hp -def
• Tempest Trials (A Gift of Peace) - 4* Cain, +spd -def
• Legendary (Gunnthra) - 3* Serra, +def -hp
• Raven and Lucius's Battle - 3* Saizo, +res -hp
• Happy New Year! - 3* Olivia, +spd -res
• Effective Against Cavalry - 4* Olivia, neutral
• World of Dawn - 3* Sully, +def -hp
• Tempest Trials (Stepping into the New Year) - 5* Hinoka, +atk -hp
• 4★ and 5★ Heroes (Roy, Oscar, Barst, Klein, etc.) - 3* Wrys, +hp -atk
• Sacred Memories - 3* Bartre, +hp -spd
• Legendary (Ike: Vanguard Legend) - 3* Palla, +def -hp
• Hero Fest (Sigurd, Nephenee, Ike - Brave Heroes, Lyn - Brave Heroes) - 3* Cecilia, +res -def
• Movement Skills - 4* Odin, +res -spd
• Love Abounds - 4* Frederick, +def -hp
• Tempest Trials (Breath of Destiny) - 3* Saizo, +hp -atk
• Corrin and Azura's Battle - 3* Niles, +hp -atk
• New Power (Caeda, Hinoka, Raven, Felicia) - 4* Sheena, +def -atk
• Fallen Heroes - 4* Odin, +atk -spd
• Voting Gauntlet (Shadow in the Mirror) - 3* Virion, +spd -hp
• Legendary (Ephraim: Legendary Lord) - 5* Summer Corrin, +def -hp
• 4★ and 5★ Heroes (Soleil, Mathilda, Fae, Jeorge, etc.) - 4* Hana, +spd -def
• Falchion - 3* Eliwood, +def -hp
• The Branded King - 4* Olivia, +spd -atk
• Countering Skills - 4* Cecilia, +res -hp
• Chrom and Lissa's Battle - 4* Oscar, +res -hp
• Weapons to Refine (Eirika, Leo, Soren) - 3* Bartre, +atk -hp
• Hares at the Fair - 4* Hawkeye, +res -hp
• Heroes with Miracle - 3* Stahl, +hp -spd
• Legendary (Robin: Fell Vessel) - 4* Odin, +atk -res
• Spring Festival (2018) - 4* Titania, +hp -spd
• 4★ and 5★ Heroes (Cain, L'Arachel, NIno, Felicia, etc.) - 3* Selena, +atk -hp
• Cooldown Bonuses - 4* L'Arachel, +spd -def
• Tiki and Nowi's Battle - 4* Florina, +def -hp
• World of Thracia - 4* Olivia, +def -res
• Tempest Trials+ (Thunder's Fist) - 3* Hinata, +def -res
• Heroes with Combat Boosts - 3* Beruka, +spd -res
• Wings of Fate - 4* Lissa, +hp -def
• Legendary (Lyn - Lady of the Wind) - 4* Virion, +hp -res
• Genealogy - 4* Eirika, neutral
• New Power (CorrinM, Clair, Camilla) - 4* Fir, +atk -res
• Bridal Bloom - 3* RobinM, +res -def
• Tempest Trials+ (Loki's Flames) - 4* Ares, +res -spd
• Bridal Blessings (2018) - 4* Subaki, +def -atk
• Heroes with Stance Skills - 4* Est, +atk -hp
• Legendary (Ryoma: Supreme Samurai) - 3* Palla, +atk -spd
• Seliph and Julia's Battle - 4* Soren, +spd -def
• Scattered Fangs - 4* Tharja, +spd -res
• New Power (YTiki, ATiki, Linde, Merric) - 4* Peri, +res -hp
• Tempest Trials+ (Feud of the Fangs) - 4* Niles, +atk -res
• Summer's Arrival - 4* Mathilda, +hp -atk
• Heroes with Death Blow 3 - 4* Seliph, +def -hp
• Nohrian Summer (2018) - 4* Beruka, +spd -def
• Ylissean Summer (2018) - 3* Felicia, +def -atk
• Legendary (Hector: Marquess of Ostia) - 3* Boey, +res -spd
• Fated Battles - 4* Athena, +def -res
• Hector and Matthew's Battle - 5* Hector, +hp -atk
• Heroes with Luna - 4* Tharja, +spd -res
• A Sketchy Summer - 4* Shigure, +hp -atk
• New Power (Katarina, Nephenee, Titania) - 4* Florina, +res -hp
• Ylissean Travelers - 5* Ephraim, +hp -atk
• Leo and Elise's Battle - 4* Hana, +atk -spd
• Heroes with Distant Defense - 4* Camilla, +spd -atk
• Legendary (Lucina: Glorious Archer) - 3* Oscar, +res -hp
• Weapon Triangle (Banner Repeat) - 4* Henry, +atk -hp
• Heroes with Vantage (Banner Repeat) - 4* Hana, +res -def
• Heroes with Fury (Banner Repeat) - 4* Draug, +hp -def
• Heroes with Hone Atk (Banner Repeat) - 4* Tharja, +res -atk
• Heroes with Quick Riposte (Banner Repeat) - 3* Virion, +spd -hp
• Heroes with Fighter Skills - 5* Hardin, +def -atk
• Heroes with Life and Death (Banner Repeat) - 3* Arthur, neutral
• Heroes with Blade Skills (Banner Repeat) - 3* Nowi, +atk -spd
• Heroes with Threaten Defense (Banner Repeat) - 5* Peri, +def -res
• Heroes with Death Blow 1 (Banner Repeat) - 4* Tailtiu, +atk -res
• Festival in Hoshido - 4* Eirika, +def -spd
• Heroes with Threaten Speed (Banner Repeat) - 3* Klein, +res -def
• Heroes with Flier Skills (Banner Repeat) - 4* Lukas, +spd -def
• Heroes with Death Blow 2 (Banner Repeat) - 4* Jakob, +atk -def
• Heroes with Powerful Specials (Banner Repeat) - 4* Odin, +hp -res
• Weapons to Refine (Lyn, Ephraim, Takumi) (Banner Repeat) - 4* Jagen, +res -hp
• Weapons to Refine (Eldigan, Minerva, Jaffar) (Banner Repeat) - 3* Felicia, +spd -atk
• Heroes with Draconic Aura - 4* Sophia, neutral
• Micaiah and Sothe's Battle - 4* Catria, +spd -res
• Arrival of the Brave - 4* L'Arachel, +def -atk
• Heroes with Healing Skills - 4* Draug, +res -atk
• Legendary (Marth: Hero-King) - 4* Fir, +spd -hp
• Voting Gauntlet (The Chosen Ones) - 4* Tailtiu, neutral
• Heroes with Fury 2 - 3* Bartre, +atk -spd
• Doorway to Destiny - 3* Gunter, +res -def
• Tempest Trials (Doorway to Destiny) - 5* Deirdre, +hp -spd
• Nohrian Dusk - 4* Lon'qu, +res -spd
• New Power (Celica, Odin, Cherche) - 5* Celica, +spd -def