As Racer said, pump the primer bulb and look everywhere with a bright light. I have a '96 Intruder 150 and fixed multiple leaks this past spring. There are some common items on these Intruders and there are leaks common to just about any outboard.
1) Carb Float Chambers
These plastic float chambers have 2 very notorious leak points. One is a pressed in BB on the side. This is a passage that was drilled during manufacturing then filled with a BB to seal it. Over time the plastic shrinks and fuel leaks around the BB. The second is the chamber itself warps and you get leaks around the carb gasket. If either of these is an issue the best solution is to new float chambers. Before installing these I would suggest a coat of fuel resistant JB Weld epoxy over the BB's and they'll never leak again.
2) VST
There is a gasket on the top of the VST where the lid screws on that can leak
3) Filter
The cone shaped filter has 2 O-rings on it that can harden with age and leak
4) Primer Solenoid
The gasket on the primer solenoid or the o-ring on the red selector switch can hard and leak
5) Fuel Pump
Sometimes with age the body of the fuel pump can become brittle and crack
6) Fuel Floats
The needle and seat on the float valve can wear and not fully seal causing excess fuel to run through the carb. Also, incorrect float adjustment won't seat the needle and allow to much fuel to flow.
This past spring I spent about $1,000 on parts going through my fuel system to address several issues on the 25 year old engine. I replaced all 6 float chambers, 6 carb rebuild kits, a new fuel filter and o-rings, new OMS fuel pump, primer solenoid rebuild kit, and VST gasket. After all that work my leaks are gone and the engine ran like a top all year.
KJ