Just an example: http://www.c-speedracing.com/integra.php

To get into 12s without slicks you'd probably need about 240 or so to the wheel, maybe a bit more.

Generally speaking this is the way to go:

B18C1
free-flow intake
ITR intake manifold (or skunk2 copy)
ported/polished head, chambers deshrouded to 84 mm bore
cams: JUN Type-3, Toda Spec B, skunk2 Stage 2 (copy of the JUNs)
upgraded valve springs, titanium retainers
adjustable cam gears
block resleeved, bored to 84 mm
forged rods, forged pistons
CR around 11.5:1 or so
stock crank
header with 2.5" collector
2.5" hi flow cat
2.5" exhaust
some means of electronically tuning fuel and timing maps (Hondata, Zdyne, AEM EMS, etc...for a '90-'91 I'd go Zdyne, '92-'93 Hondata)

To swap the thing into the year of Integra you want, you'll need a transaxle with a cable-actuated clutch from a '92-'93 Integra GSR or a Jap-spec Integra XSi or RSi. You can use an older Jap-spec B16A transmission which will give you similar gear ratios but you have to use the smaller '90-'91 Integra clutch.

Also a couple of extra wires need to be run to the ECU to get it to control VTEC.