Context. Over the past decades, several studies have discovered a population of galaxies undergoing very strong star formation events, called extreme emission line galaxies (EELGs). Aims. In this work, we exploit the capabilities of the Javalambre Photometric Local Universe Survey (J-PLUS), a wide field multifilter survey, with 2000 square degrees of the northern sky already observed. We use it to identify EELGs at low redshift by their [OIII]5007 emission line. We intend to provide with a more complete, deep, and less biased sample of local EELGs. Methods. We select objects with an excess of flux in the J-PLUS mediumband J0515 filter, which covers the [OIII] line at z<0.06. We remove contaminants (stars and higher redshift systems) using J-PLUS and WISE infrared photometry, with SDSS spectra as a benchmark. We perform spectral energy distribution fitting to estimate the physical properties of the galaxies: line fluxes, equivalent widths (EWs), masses, stellar population ages, etc. Results. We identify 466 EELGs at z < 0.06 with [OIII] EW over 300 Å and r-band magnitude below 20, of which 411 were previously unknown. Most show compact morphologies, low stellar masses (log(M /M ) ∼ 8.13 +0.61 −0.58 ), low dust extinction (E(B−V) ∼ 0.1 +0.2 −0.1 ), and very young bursts of star formation (3.0 +2.7 −2.0 Myr). Our method is up to ∼ 20 times more efficient detecting EELGs per Mpc 3 than broadband surveys, and as complete as magnitude-limited spectroscopic surveys (while reaching fainter objects). The sample is not directly biased against strong Hα emitters, in contrast with works using broadband surveys. Conclusions. We demonstrate the capability of J-PLUS to identify, following a clear selection process, a large sample of previously unknown EELGs showing unique properties. A fraction of them are likely similar to the first galaxies in the Universe, but at a much lower redshift, which makes them ideal targets for follow-up studies.