Engine stalling or failure to start may indicate crankshaft angle sensor failure; Hyundai issued a recall.
Hyundai Elantra Problem Reports
RepairPal Verified Hyundai Elantra Problem Reports
If the automatic transmission does not shift properly and the Check Engine Light illuminates, the speed sensors in the transmission may have failed. The sensors are simple and inexpensive to replace.
System component failure can cause the airbag warning light to illuminate. Stored fault codes should be diagnosed to help isolate the cause of the problem. A recall for the driver's side airbag applies to 1994 & 1995 models only.
Prior to replacing the automatic transmission fluid (to improve shift quality), make sure that the transmission fluid level is correct. Also, make sure the computer that controls the transmission has the most up-to-date adaptive programming information. When servicing these transmissions be sure to use fluid approved by Hyundai.