FLT CREW OF B737-400 EXPERIENCE #1 ENG FAILURE AND MULTIPLE SUBSEQUENT SYS MALFUNCTIONS AND FAILURES. DECLARE EMER AND DIVERT TO EUG. MAKE PERFUNCTORY AND INCOMPLETE LOGBOOK WRITE-UP.

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FL310 OVER OED VOR; AUTOPLT DISENGAGED AND THE #1 ENG FAILED. WE DECLARED AN EMER WITH ATC AND GOT A HDG AND A LOWER ALT SINCE WE COULD NOT MAINTAIN FL310 AT OUR WT. WE RAN THE EMER QRH PROC AND TRIED A RE-LIGHT. THIS WAS BTWN 200-240: THE ENG DID NOT RESTART SO WE SECURED IT. AS WE GOT A LOWER ALT FROM CTR AND A NEW HDG; WE STARTED TO OBSERVE AND TRY TO CORRECT A NUMBER OF OTHER PROBS. WE LOST ELECTRIC FUEL BOOST PUMPS; ELECTRIC TRIM; YAW DAMPER; THRUST REVERSER #1 AND THRUST REVERSER #2; AUTOPLT; FLT DIRECTORS; AND MCP. WE HAD INTERMITTENT RADIOS (NAV AND COM) AND CAPT SIDE EFIS. EVENTUALLY WE ONLY HAD THE CAPT'S SIDE COM AND WE LOST ALL RADIOS ONCE ON THE GND. IN THE CABIN EVERYTHING WAS OUT EXCEPT FOR THE EMER LIGHTS. NO INTERCOM AND THE ELECTRIC DOOR LOCK WAS INOP. A FLT ATTENDANT CAME TO THE FLT DECK AFTER TRYING TO CALL US FOR 10 MINS OR SO. HE STOOD THERE OBSERVING US AND TALKED WITH US TO MAKE SURE WE WERE OK AND TO SEE IF WE COULD MAKE A PA. WE HAD THE #2 ENG DRIVEN HYD PUMP AND THE 32 ENG GENERATOR. I CANNOT RECALL WHAT WE HAD ON THE BAT BUS; STANDBY PWR OR ON THE 'INV.' I TRIED A RESTART BTWN 8000-12000 FT AND THE ENG RAN FOR LESS THAN 1 MIN BEFORE FLAMING OUT AGAIN. THE FLAPS WERE SLOW TO DEPLOY. THE GEAR CAME OUT ON ITS OWN; BUT WE WERE STANDING BY FOR THE ALTERNATE EXTENSION. THE GEAR TOOK SEVERAL MINS TO COME DOWN WITH THE NOSE GEAR COMING DOWN LAST JUST AS I WAS ABOUT TO EXTEND IT MANUALLY. OUR REF SPD WAS OVER 155 KIAS AND WE TOUCHED DOWN VERY SOFTLY. WE DID NOT HAVE ANTI-SKID. I DEPLOYED THE SPD BRAKES MANUALLY (THEY PARTIALLY CAME UP) AND THE REVERSER WAS VERY SLOW TO RESPOND. WE BLEW OUT THE #1 TIRE ON ROLLOUT. WE SAT ON THE RWY FOR OVER AN HR WAITING FOR A TUG AND HAVING ONLY OUR CELL PHONES TO TALK TO THE TWR AND COMPANY. ONCE TOWED TO THE RAMP; WE DEPLANED AND HAD A CREW DEBRIEF. WE ONLY WROTE UP THE ENG FAILURE ASSUMING THAT THE OTHER FAILURES WERE ASSOCIATES WITH THAT. HOWEVER; IN RETROSPECT WE SHOULD HAVE WRITTEN UP THE ELECTRICAL SYS FAILURES; HYD FAILURES AND POPPED CIRCUIT BREAKERS.