Im seeking a replacement engine for my 2003 saturn L-200. I know the engine is a 2.2 L I4 8th digit F and this engine is used in several of GM cars, but not sure which GM cars engine would be an exact fit for my Saturn.

ask the dealer or , go there and see part for the car there
and see what transmission it is, for 2002 the move to 2003
and see if the same (gm parts)
there are 2 engines used, why post at all lacking such a key fact?
2.2L or 3.4liter, v6 is latter.and transmission vary buy engine max power torque, and more, gear counts for economy.

Oldsmobile Alero
or ask any engine rebuilder selling engine that (ever google that)
Or ask the shop doing it.
I'm there now. gm parts.
2002 , 2.4L 89059799 sku
fits all these

2002 Chevrolet Cavalier Base, LS, LS Sport 2.2L L4 - Gas 2002 Oldsmobile Alero GL, GLS, GX 2.2L L4 - Gas 2002 Pontiac Grand Am SE, SE1 2.2L L4 - Gas 2002 Pontiac Sunfire GT, SE 2.2L L4 - Gas 2002 Saturn L100 Base 2.2L L4 - Gas 2002 Saturn L200 Base 2.2L L4 - Gas 2002 Saturn LW200 Base 2.2L L4 - Gas
2003 there shows
89059802 , a diffr, sku!! shows fitments 03

2003 Oldsmobile Alero GL, GLS, GX 2.2L L4 - Gas 2003 Pontiac Grand Am SE, SE1 2.2L L4 - Gas 2003 Saturn L200 Base 2.2L L4 - Gas 2003 Saturn LW200 Base 2.2L L4 - Gas
that is the GM answer, others like engine builders/sellers
my say different even tell you what must be changed to do it

1 minutes work me. just reading at gm.com

Linkage problem . Access the motor and see if the linkage came off . Watch this video , may help you out . I know it's not a saturn ,still a GM vehicle . Pontiac G6 Wiper Fix and other GM cars

Possible that the ECT (engine coolant temperature sensor) is faulty, or the wiring to it has been compromised. Try looking the wiring over. If nothing jumps out at you, replace the sensor. Keep in mind, it's the season for critters to seek warmth from engine heat.

I need more information. When the radio is on, does the display show 4 lines like this. ---- or does it spell the word "lock" on the display. If it says "lock" , you must take it to a G.M. dealer .
If it shows the dash lines, then turn off the radio.Turn the key to "run". Hold the preset buttons 5 & 6 down for 5 seconds or so until you see the ----. Using the seek /scan button, enter 0000.If it doesn't unlock, then some other 4 digit code was previously entered. Off to G.M. you must go.

Hi my name is Tom and I can help you. All manufacture res of coolant make the same coolant. There are standards set my government. I use Prestone, but andy coolant will do. I trust this is helpful to you.

Several GM products, including the Chevrolet Impala and Malibu, the Oldsmobile Alero, the Pontiac Grand Prix, and Saturn Ion, have issues with the Security light coming on. This is many times an indication of a failing Body Control Module (BCM). Initially, the Security light will come on then go off, progressing to a constant on light, before the car will refuse to start. Other symptoms may include erratic action of electronics, a clicking sound coming from the glove box, and the air conditioning failing to blow cold air. I recommend a shop that specializes in the electronic systems of vehicles to diagnosis and make the necessary repairs. They should keep the car until they replicate the symptoms described. A new BCM from GM should cost about $230; plan on another $200 for them to diagnose the problem, replace the unit, and program the new unit. The dealers quote between $700 and $1,100 for the same repair. My experience and the experiences I have read on the internet, indicate the new BCM should last only about a year.

there is no way to know for sure without some troubleshooting and since your engine light is lit which im assuming is the check engine light you can have someone with an obd scanner pull the codes and go from there that is pretty much your only option at this point

Here is the definition of the code in GM manual:
P0128 - Coolant Thermostat Below Thermostat Regulating Temperature, this indicates the engine is running cold, u need a thermostat

Stepper motors inside the insturment cluster . 2003 to 2006 gm had problem with bad stepper motors .
How to repair GM Instrument Cluster Speedometer Gauge Stepper