Drizzt has rogue levels, ranger levels, a barbarian level, and at least one dervish prestige level (scimitar as a finesse weapon, dervish dance etc.) Every build I have seen for him in all modules he appears in has some type of similar class combination. The levels vary.
DDO builds? Note: I am not saying this is the most effective build in DDO - I am saying its likely as close as you will get to drizzt class combination in DDO. (I always thought drizzt was kinda gimped in PnP too compared to how he is written about in the books)
12 ranger, 6 fighter, 2 rogue, would likely be closest.
Kensai scimitar. Tempest 2.
Normally, Level ups into DEX in PnP due to dervish granting scimitar as a finesse weapon. (cant use scimitar as finesse in DDO though so this will gimp you unless you choose another weapon, or put level ups into str instead for better playing functionality. )
Summon spell: If theres a cat option, take it.
Mithral chain shirt (will go better with a str build, heh)
I would prob roll a regular elf with white hair, purple eyes, and dark skin before rolling a DDO drow due to getting scimitar enhancements....but thats just me.
One of drizzts scimitars (twinkle) is a defender, meaning he can use the weapon bonus as AC if he wants - in DDO I'd go with force or shock of parrying.
The other scimitar has a bane to creatures of fire - maybe an icy burst of evil outsider bane weapon.