If you are looking for elderly notices, FindMyPast have a large and continuously growing set of Irish newspapers.
If it's the modern ones you are after, try the website associated with a local paper. Many of them use the same database. I was surprised when searching the notices of a local rag in Washington state to find a mention of another person in my one-name study listed as a mourner at two funerals in Nottinghamshire.
Come to think of it, I was also surprised to find a 21st century funeral report at all. I thought that style of reporting died out about 1960. Most of today's papers don't print anything unless there is money to be made from advertising.
There was a time when the newspapers received a list of deaths direct from the Registrar; I once came across a notice (about 1900 iirc) informing the readers that this was being discontinued, but simple announcements would still be printed for free. Additions such as "family flowers only" would have to be paid for.
