A few examples to illustrate some of the contributors of rate enhancement.
Acid-Base Catalysis: The reaction catalyzed by triose phosphate isomerase is the second fastest listed in the graph on the first page.

In aqueous solutions, bimolecular proton transfers occur at diffusion controlled rates - that is, as rapidly as the molecules involved can collide with each other, about 109 to 1010 per second.
The enzyme catalyzes the proton transfers using a glutamate residue as a base, and a histidine as the acid:

Net, we pull a proton off carbon, as above, put one onto the oxygen, pull one off the other oxygen, and put the original one back onto the other carbon.
The whole transformation is a proton relay.
Proponents argue that the proton transfers can occur at greater than diffusion controlled rates since the enzyme maintains proper orientation (controls the entropy factor) for all the reacting species.
| TIM with 2-Phosphoglycolate (a substrate mimic) Bound | Closeup of Catalytic Site |
|---|---|
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The orientation of the catalytic residues and the substrate for proton relay is evident.
Nucleophilic Catalysis: A subgroup of a larger mechanism type that might be called "covalent catalysis".

The amino side chain of a lysine in the active site forms a Schiff base with the acetoacetate