I had this happen on my 1997. I had to replace the spark plugs and spark plug wires. The seals around the top of the valve cover around where the plug wires insert wear out. Once they do they let oil in and that messes up the spark plugs. Once I replaced everything my issues went away.
Ignition switch
Check the 1989 Honda Accords timing. If the engine has jumped time then the engine will buck and sputter.
The 2011 Honda Accord has an inline 4 engine.
The 2005 Honda Accord has an inline 4 engine.
The 2004 Honda Accord has an inline 4 engine.
The 2007 Honda Accord has an inline 4 engine.
The 2006 Honda Accord has an inline 4 engine.
The 2003 Honda Accord has an inline 4 engine.
The 2014 Honda Accord has an inline 4 engine.
The 2008 Honda Accord has an inline 4 engine.
The 2012 Honda Accord has an inline 4 engine.
The 2001 Honda Accord has an inline 4 engine.