What equity valuation methods are most commonly used (alongside DCF)?

actually, the market approach is used more offen than even DCF in equity research reports

Public comps, M&A comps and LBO.

EPS and Relative valuation method is commonly used in equity valuation. Ebitda used as basis for relative valuation method

In Equity Valuations, Dividend Discount Model & Multi Stage Dividend Discount Model are also used widely. 

Mostly relative valuations (in majority of the cases either EV/EBITDA or PE valuation) is used alongside DCF.

I think  Peers Multiple Method is the best method to evaluate equity.

usually Mutiple Approach, Asset Based , SOTP analysis is used alongside with DCF when we are performing equity valuation for the Public companies.

Relative Valuation , Asset base Valuation 

Comps

Trading multiples or comparable companies multiple (dependent on the business, may also use sum of the parts but that also follows using comps where each division comps are separately caclulated using peers)

Comparable transactions / precedent transactions

Would also use LBO along side with it.

Best way is to look at a football field which you would find in any Investment Banking pitchbook

In my humble experience have not come across a DDM on a football field. But never say never!