A few things that can erupt are anger, volcano, tooth, rash, riots, unrest, etc. Erupt has several meanings. Their explanation, with examples, is given as follows:  

(i) Start unexpectedly  Example: Riots erupted in the city.  

(ii) Start to burn or burst into flames  Example: The spark soon erupted into flames.  

(iii) Become active and spew forth lava and rocks  Example: The molten lava erupted out of the active volcano.  

(iv) Forceful and violent release of something pent up  Example: The difference in their views soon erupted in a fight.  

(v) Sudden appearance on the skin  Example: On the day of the party, a pimple erupted on her face.  

(vi) Break out  

Example: Eruption of the wisdom tooth gives a lot of pain.  

Things that can surge are pride, anxiety, waves, boats, army, etc. The several meanings it has  can be explained with the following examples:  

(i) Sudden forceful flow  Example: The boy drowned in the surging waves.  

(ii) Rise and move forward  The army surged towards their enemy.  

(iii) Heave upward under the influence of a natural force  Example: The boat surged in the high tide.  

(iv) See one's performance improve  Example: Hard work helped to surge Sandra's scores.  

(v) A sudden or abrupt strong increase  Example: The surge in the stock market left people in a shock.  

(vi) Rise rapidly  Example: As time passed, her tension surged.