This is a collection of accessible full-text journals (with a retrospective mostly from 2017) published by Nature Publishing Group, now Springer Nature:

Bone Marrow Transplantation
British Journal of Cancer
Genes and Immunity
Heredity
Journal of Human Genetics
Leukemia
Nature
Nature Biotechnology
Nature Cell Biology
Nature Genetics
Nature Chemical Biology
Nature Chemistry
Nature Immunology
Nature Materials
Nature Medicine
Nature Methods
Nature Nanotechnology
Nature Neuroscience
Nature Photonics
Nature Physics
Nature Reviews Cancer
Nature Reviews Cardiology
Nature Reviews Drug Discovery
Nature Reviews Genetics
Nature Reviews Immunology
Nature Reviews Microbiology
Nature Reviews Molecular Cell Biology
Nature Structural & Molecular Biology
Oncogene
The Pharmacogenomics Journal