As mentioned earlier, most lunchbox amps have fairly low wattages because of their smaller sizes, as they cannot contain as much vital circuitry as their full-sized equivalents. For many people this may be an issue, as lower wattage means less headroom, which results in a more compressed, broken up sound when cranked up to gig levels.
If you’re playing at a small club/pub venue, a lunchbox guitar amp rated at around 15W will provide enough volume against a loud drummer, and would remain fairly clean with a little bit of break-up. For medium-sized venues, you would definitely want something with slightly more grunt, and it would be recommended to use an amp with between 20-40W of headroom.
A larger venue would require an amp above 50W, and unfortunately there are only a handful of lunchbox amps that boast that amount. However, it is worth mentioning that the cabinet you are plugged into will influence your sound massively, and it is equally important to find the right cab when volume and output is a factor.
For example, plugging into a 4x12 will result in far better sonics and projection, with a more open and airy sound that can spread around a room. Plugging into a 1x12 will have a completely different outcome from a tonal perspective, giving you a tighter sound with less low-end and a more compressed quality.