Ok, I read your post and though "no way, there has to be an Icarus Airlines out there"... And well, I could find 2:
https://airlinehistory.co.uk/airline/icarus-airlines/
> Icarus Airlines, known as Greece’s first airline, was formed in 1930 but went bankrupt within months
That history seems fitting. And this one:
https://en.wikipedia.org/wiki/Icaro_Air
> Icaro Air was an airline based in Quito, Ecuador. Its main base was Mariscal Sucre International Airport, Quito.
That one operated for 4 decades.
If large space transporters ever become popular, there's no way there won't be a few named Titanic. People like those names, and the context doesn't hit as quickly as the awe.