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We present a sample of $\sim 1000$ emission line galaxies at $z=0.4-4.7$ fromthe $\sim0.7$deg$^2$ High-$z$ Emission Line Survey (HiZELS) in the Bo\"otesfield identified with a suite of six narrow-band filters at $\approx 0.4-2.1$$\mu$m. These galaxies have been selected on their Ly$\alpha$ (73), {\sc [Oii]}(285), H$\beta$/{\sc [Oiii]} (387) or H$\alpha$ (362) emission-line, and havebeen classified with optical to near-infrared colours. A subsample of 98sources have reliable redshifts from multiple narrow-band (e.g. [O{\scii}]-H$\alpha$) detections and/or spectroscopy. In this survey paper, wepresent the observations, selection and catalogs of emitters. We measure numberdensities of Ly$\alpha$, [O{\sc ii}], H$\beta$/{\sc [Oiii]} and H$\alpha$ andconfirm strong luminosity evolution in star-forming galaxies from $z\sim0.4$ to$\sim 5$, in agreement with previous results. To demonstrate the usefulness ofdual-line emitters, we use the sample of dual [O{\sc ii}]-H$\alpha$ emitters tomeasure the observed [O{\sc ii}]/H$\alpha$ ratio at $z=1.47$. The observed[O{\sc ii}]/H$\alpha$ ratio increases significantly from 0.40$\pm0.01$ at$z=0.1$ to 0.52$\pm0.05$ at $z=1.47$, which we attribute to either decreasingdust attenuation with redshift, or due to a bias in the (typically)fiber-measurements in the local Universe which only measure the central kpcregions. At the bright end, we find that both the H$\alpha$ and Ly$\alpha$number densities at $z\approx2.2$ deviate significantly from a Schechter form,following a power-law. We show that this is driven entirely by an increasingX-ray/AGN fraction with line-luminosity, which reaches $\approx 100$ \% atline-luminosities $L\gtrsim3\times10^{44}$ erg s$^{-1}$.

Bo\"otes-HiZELS: an optical to near-infrared survey of emission-line galaxies at $\bf z=0.4-4.7$