What's stronger than acid?

Acids aren't all equally powerful, they come in different concentrations.  That's the important thing.  One can even drink weak acids but drinking concentrated acids would cause a painful death.  It's like asking how long is a piece of string?

DMT (N-Dimethyltryptamine) is stronger than LSD (lysergic acid diethylamide)

Weak acids are only slightly ionized. Phosphoric acid is stronger than acetic acid and so is ionized to a greater extent. Acetic acid is stronger than carbonic acid, and so on.

What do you mean?

You have weak acids which do not dissociate completely in solutions (ie. acetic acid or citric acid), strong acids which dissociate completely (all hydrogen halides except HF, chloric, perchloric, nitric and the strongest mineral acid, sulfuric acid) and then the superacids, such as magic acid or fluoroantimonic acid (acid with an acidity greater than that of 100% pure sulfuric acid.) They find use as catalysts in alkylation reactions. 

The same with bases, you have weak bases (ie. ammonia), strong bases (ie. NaOH) and superbases (ie. Lithium diisopropylamide or alkali metal hydrides). They are usually used as catalysts in organic reactions. 

I guess you are looking for some EWWW! factor. Below is something that mere mortals should not share a room with:

https://en.wikipedia.org/wiki/Chlorine_trifluoride

Superman of course 

The mineral acids are the strong acids.  e.g. HCl, HBr, H2SO4 , H2SO3 , HNO3, HNO2, H3PO4  are some strong acids. 

The Carboxylic Acids are the weak acids, e.g. CH3COOH, HCOOH,  CH3CH2COOH 

The difference between the two , is the mineral acids fully dissociate in solution, releasing all their hydrogen ions.  By comparison the carboxylic acids only partially dissociate in solution, releasing only a few of their hydrogen ions. 

Your stomach, it runs on HCl

In what way, exactly?  Heat is more destructive, perhaps, so "stronger" in that way.  Many oxidizers generate more energy and emit more heat, and cause more vigorous reactions per unit quantity than any acid would.

Acids vary in strength, but even the most corrosive acids are not strong against (do not react with) everything.  Lots of things are compatible with acidic conditions.  Some bases are more reactive for certain things than an equal strength acid.  Corrosives can be either acid or alkali.  They attack different things with different intensities.

My love for chicken nuggets