Diff, show modified line from right file only
With GNU diffutils package's diff
this will output only lines from file b which either were modified or newly inserted:
diff --unchanged-line-format= --old-line-format= --new-line-format='%L' a b
You have to add one more option :
grep -vf file1 file2
awk 'FNR==NR{old[$0];next};!($0 in old)' old.txt new.txt