Very American suggestions but nothing really wrong with any of them apart from Ryder and Bryce and the spelling of Anabelle.
Some 'compromise' names or alternatives to consider:
Instead of Joshua - Jonah, Jonas, Josiah or Jasper
Instead of Oscar - Arthur, Orlando or Otis
Instead of Mitchell - Michael or Dashiell
Instead of Quinn - Tim(othy) or Quentin
Instead of Jake - Blake, Jago or Jesse
Instead of Logan - Nolan or Morgan
Instead of Austin - Austen (as a nod to Jane Austen), August(ine), Asher, Roman or Carsten
Instead of Owen - Ronan, Rowan, Owain, Orson or Conan
Instead of Riley - Bailey, Brady, Eli, Harry, Cyrus or Levi
Instead of Kieran - Cassian, Declan, Keir, Lorcan, Orion or Julian
Instead of Arlen and Ashton - Aaron, Adam, Aidan, Arlo or Adrian
Girls
Abby - Abigail, Gabby (Gabrielle), Libby (Elizabeth), Naomi, Polly, Ruby or Verity (consider some other vintage=style nickname names too)
Kyra and Bryce - Ada, Ailsa, Ayla, Isla or Isis
Ryder - This is a truly awful choice for a girl. I can't really think of any viable alternatives but perhaps a more feminine surname would suffice along the lines of Miller (Millie).
Amber - Amberly, Coral, Ember, Gemma or Kimberly
Ashley - Aisling, Ashby or Ainsley
Addison - Adele, Adela, Adelina or Adelaide
Anabelle - Anna, Annabel, Christabel, Isabel etc.
Olwen - Anwen, Bronwen or Ottilie
Carys - You might prefer the Greek spelling - Charis - or the variant Cerys. You might want to consider some other names with similar endings like Dolores, Lois, Agnes, Annis, Alice, Beatrice, Frances, Avis, Iris, Alanis, Artemis, Dilys, Hollis, Lillias, Ellis, Damaris, Doris and Isis.
For what its worth, your husband seems to like a lot of names names that were popular in America in the 90s so you might want to search those lists (look on Google) for some you like too.
He also likes girls names with strong I sounds (Kyra and Bryce) and soft As (Amber, Ashley, Annabel, Addison). Paradoxically, he likes some 'harsh' sounding girls names (Ryder, Amber and Olwen) and some 'softer, frillier' ones (Abby and Ashley). Could try suggesting some other Welsh names since he likes Carys and Olwen. Might serve as a guide to help you work out which ones to put to him.