I also enjoy Fawlty Towers (partly because it reminds me of a holiday in Torquay in 1961). Basil's abuse of Manuel probably heightened tensions between Britain and Spain, though.
Since childhood, I have been a big fan of Steptoe and Son, although the treatment of the father by the son is sometimes horrifying by today's standards.
Blackadder is another favourite comedy although I found the vaunted "deeply moving" final episode rather twee.
Series 1 to 6 of 'Allo 'Allo! are wonderful and a relief from excessive political correctness. Series 7 to 9, after David Croft left the writing partnership with Jeremy LLoyd, are of more variable quality.
Watching the Last of the Summer Wine, first broadcast in early January of 1972 and ending in August 2010 after 31 series (but sometimes long gaps between them), is a good way of getting used to growing old. The best episodes were those with Bill Owen as Compo Simmonite but he died in 1999. My favourite episodes have retired headmaster Seymour Utterthwaite as the "gang" leader but most prefer "trained killer" Foggy Dewhurst. Norman Clegg, played by Peter Sallis, was in every episode. The show is usually regarded as having elderly main characters but as the length of the series suggests, the dangerously idle heroes started as redundant middle aged men, not elderly retirees. If you don't find it funny enough, you can enjoy the quaintness and scenery of the Yorkshire village of Holmfirth, where the series was set and where Owen and Sallis lie together in the graveyard of St John's Church.