I’m going to guess here that you only need 2 channels, that you don’t really mind about specific functionality (at this budget!) so here are a few recommendations:
1) A used Allen & Heath Xone:22 mixer – possible in budget, high quality. Has allen and heath filters
2) Numark M101- basic. Just a mixer, but will work.
3) Pioneer DJM-250 (the 350 is out of budget I think) – decent budget mixer, has filters unlike the numark.
4) Reloop RMX20 (or RMX30 if in budget) – another decent alternative. if you can get the RMX30, it adds features like channel VU meters and a proper mic channel over the RMX20..
Erm.. that’s all I could find that would be decent at this budget – Stay away from Behringer gear though – it looks great on paper but they have reliability issues…
bob6397