For emphasis:
* Truly
* Absolutely
* Definitely
* Indeed
* In fact
* Actually
* Honestly
* Seriously
* For sure
* Without a doubt
For intensity:
* Very
* Extremely
* Incredibly
* Immensely
* Highly
* Deeply
For informal use:
* So
* Super
* Totally
* Right
* For real
For specific meanings:
* Authentically (genuine)
* Substantially (significantly)
* In truth (in reality)
The best synonym for "really" will depend on the specific sentence and the desired effect.