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1.
Verbal arguments between people who have different opinions about romantic relationships between characters of a show, book, etc.

A noticeable one would be the war between a

Robin/Raven shipper and a Robin/Starfire Shipper.
Don't say anything negative about "Stranded" online. You'll start a shipping war.
by Lomesir May 22, 2005
 
2.
Where a bunch of people start arguing, and wage a war over which couples in a show were meant to be canon in a webcomic, anime, tv show,ect.
I went on this chat room, and there were all these people who started arguing over Homestuck shipping. The arguement quickly became a full on shipping war, and i got involved. Darn shipping wars
by T3r3z1 Pyrop3 June 21, 2013