You have a 4 generation 1988-1991 Honda Civic LX. The motor that came in these models was the D15B2 SOHC Non-VTEC. Has 92hp and 88trq.
Here's most of the motor swaps seen/have been done:
D16Z6 EG Civic EX Motor (125hp w/ 106trq) SOHC VTEC
D16Y8 EK Civic EX Motor (127hp w/111trq) SOHC VTEC
B16A SiR-I or SiR-II Motors (160-170hp w/ 111-113trq) DOHC VTEC
B16B Type R Motor (185hp w/ 117trq) DOHC VTEC
B18B Integra LS Motor (145Hp w/ 127trq) DOHC
B18C GSR Motor (180hp w/ 126trq) DOHC VTEC
B18C Type R Motor (200hp w/ 134trq) DOHC VTEC
And the famous K20A Type R Motor (220hp w/ 158trq) i-VTEC DOHC
There's also a possibilty of the H and F series motors.
Each motor may or may not need some modifications to the engine bay to fit in the vehicle.
www.honda-tech.com