You're lookin pretty much spot on with normal, at least for the 4 drivers who have reported on fueleconomy.com. Try driving more conservative. That might make put you on the high end.
2004 Honda Accord
EPA Fuel Economy
Fuel Type
Regular Gasoline
MPG (city)
MPG (highway)
MPG (combined)
Average User MPG
33.3
MPG Range
28 to 37
Number of Vehicles
4
Show All Estimates 
Fuel Economics
Cost to Drive 25 Miles
Fuel to Drive 25 Miles
Annual Fuel Cost*
* Based on 15000 annual miles and a fuel price of $ 3.10 per gallon .
Use Your Gas Prices & Annual Miles
Size Class
Midsize Cars
Engine Size (liters)
2.4
Cylinders
4
Transmission
Manual (5 speed)
Drive
Front-wheel drive
Gas Guzzler
no
Turbocharger
no
Supercharger
no
Passenger Volume
103 ft3 (4D)
Luggage Volume
14 ft3 (4D)
NA
NA