The British Newspaper Archive is currently working on digitizing Irish newspapers. Papers recently added are:
Kerry People 1902-1914, 1917-1922.
Dublin Weekly News: 1860, 1865, 1870, 1875, 1879-1888.
Lurgan Times: 1879-1885, 1887-1915.
County Tipperary Independent and Tipperary Free Press:1882-1896.
Irish Weekly and Ulster Examiner: 1891-1899, 1901-1926.
Cork Weekly News: 1883-1904, 1906-1907, 1910-1912, 1914-1923 + 1900, 1902 and 1920 coming soon.
Ulster Echo: 1874-1879, 1881-1890, 1897-1908 + 1881, 1886, 1890, 1902 coming soon.
Western People: 1889-1891, 1893-1912.
Additions have been made to Pue’s Occurrences: 1704-1706, 1714.
Findmypast will also have these in its newspaper collection.