Below is a round-up of the birth announcements from British newspapers. Sources include a national paper (The Telegraph, The Times) and a broad range of local newspapers from across England, Wales, Scotland and Northern Ireland.
Sibling names are in brackets. No official surnames are included; any name ending in a surname is actually a middle name.
Boys:
Archie James
Freddie John Somerset
Gene Joseph (Gabriel & Neve Gillian)
Inigo Crispin Lysander
Jake Robert James (Peregrine "Reggie" Christopher Gordon)
Lachlan David James
Mateo
Miles Charles Andrew
Peregrine Veikko Wilfred (Primrose Saimi Ellen & Montgomery James Vasili)
Theodor Michael (Sebastian Marc)
Girls:
Amelia Charlotte (Hugh)
Charlotte Elizabeth Rose
Harriet Isobel Hester
Martha Olivia Grace (Hebe Isobel Rose, Matilda Anna Holly & Hugo Ralph William)
Ottilie Elizabeth Mary (Hugo Robert Templer)
Ruby Helen
Sylvie Grace Pamela (Nola Mary Fane) -- niece of actor Eddie Redmayne.
Tullia Margaret (Octavia Veda)
I cross-reference older BAs to find the full names of the siblings, however often they are missing (especially the eldest siblings, or for half-siblings) which explains why you will sometimes see something like: George Henry (Lucy, Emma & Jack Arthur). "Lucy" and "Emma" may well have middle names as well; I simply cannot find them online.