The invention provide novel pyrimidine derivatives and analogs having inhibitory activities towards certain tyrosine kinases, e.g., Bruton's tyrosine kinase (Btk) and/or Focal adhesion kinase (FAK), extracellular signal-regulated kinase (ERK), pharmaceutical compositions thereof, and methods of treatment, reduction or prevention of certain diseases or conditions mediated by such by tyrosine kinases, e.g., cancers, tumors, fibrosis, inflammatory diseases, autoimmune diseases, diabetes, or immunologically mediated diseases.