The only real similarity between the deaths of Tiny Tim and Ebeneezer Scrooge is that they happen about the same time.
We are not told anything about the manner in which either person died. All we know is how people reacted to them. In the case of Scrooge, no one was concerned for Scrooge or really missed him. His business associates cared about whether there would be lunch at the funeral, the one couple cared about what would happen to their loan.
By contrast, Tiny Tim's death is mourned. His family can not be happy because of his death. They stop arguing when his name is invoked and they all swear they'll never forget him. All this shows they truly cared for him.
Another glaring difference in the deaths of Tiny Tim and Scrooge is revealed in the descriptions of their grave sites. Tiny Tim's grave site is described by Bob Cratchit as a "green...place" that "would have done" Mrs. Cratchit "good" to see it. In contrast to this "green" heavenly site of Tiny Tim's grave, Dickens describes Scrooge's as
overrun by grass and weeds, the growth of vegetation's death, not life; choked up with too much burying.
As for the comparisons of their deaths, a very interesting one can be seen in the common practice of the day; both of them are laid for viewing in their homes, and in their own beds.
The deaths of Scrooge and Tiny Tim are very different. Scrooge's death almost seems petty to the people who have known him. On man even makes a remark that it is about time, meaning that Scrooges death does not surprise him.
"It's likely to be a very cheap funeral,' said the same speaker;' for upon my life I don't know of anybody to go to it. Suppose we make up a party and volunteer."
The statement above from the text indicates that there is not much excitement or going to be many in attendance at Scrooge's funeral. Scrooge has died alone just as he has lived, alienated from people.
Tiny Tim in contrast was surrounded by his family who loved him dearly. His death leaves a void in their lives and they cherish his memory. He is missed. Scrooge's death only brought joy to the people who knew him.
I could not find similarities except that the two both died fairly slow deaths. Scrooge was sick over a period of days whereas Tiny Tim deteriorated over a period of time.
"It's just as likely as not,' said Bob,' one of these days; though there's plenty of time for that, my dear. But however and when ever we part from one another, I am sure we shall none of us forget poor Tiny Tim -- shall we -- or this first parting that there was among us.'