Anywhere......any food place is usually always hiring or go to the mall and just go store to store applying. Part-time jobs are easy to get. Just have to get it in your head that it most likely will suck. I worked at a country club and an animal hospital at the time. I then worked for a contracter just doing physical labor.
Deliver those little ads door to door. You don't even have to ring the bell, just put them on peoples doors. My friend and I did this and got some nice money. It really started coming in fast when we would throw half of the stack in the trash. What do you enjoy doing? How about a place that has video games? They always need game techs. I did this for a long time, and really enjoyed it. Need Sunday off? Hobby Lobby or Chick-fil-A may work for you. Maybe try to find a data entry job if you're a good typer. You can always get a customer service job. Go door to door offering to rake lawns. Set up a lemonade stand. If all else fails, go to a temp agency, give them your resume, tell them what you want to do, and let them find something for you. Pugs
Education about a better product is a good service, IMO. Most people aren't informed (dumb consumers) and these guys can save them money on their electric rates or pay TV. The problem with most of the door-to-door guys is that they're somewhere between carnie and car salesman in class, intelligence and sales approach.
I sacked groceries at brookshire brothers in Katy back in 85-87. Groogrux's sister was one of cashieers there at the time working a highschool job. I can still sack circles around most sackers in the stores today. My bags are always segregated hot/cold and close to even weight distribution.
I'm a high school student and I work at a grocery store as a bag-boy/carry-out. Bag peoples groceries, and if they have too much to carry in hand I take it out to their car and put it in for them. Whats really nice about it though is that on top of minimum wage, a lot of people tip us, and that adds up pretty quick. If you count in tips, I probably make 11-12 dollars an hour (even more around holidays), which is really good for a high school job, since I don't have many bills to pay. Job is not fun at all though. Plus we have to a bunch of stuff in addition to that. I really dread going to work every day that I have to. But the money is definitely nice and good enough to keep me working there. If I worked somewhere else I wouldn't get paid as much even if the job would be easier. So yeah, try to find a grocery store. Most don't have carry-outs though. But if you find one that does, it pays well.
Retail. Go to a mall. I worked at a Vans store my Junior and Senior and even got promoted before I left. My manager still lets me come back for holidays and such. That or a movie theater.
Waited tables all through high school, only working friday and saturday nights. By my senior year I was making around $1000 a month, it sucked giving up my weekends but definitely made the first couple years of college a lot more fun. If you can find a place that will let you wait tables off the bat, I'd definitely go that route. Being a bus boy is ass cheeks though.
If you're a decent swimmer you should lifeguard. Get to sit around a pool all day and listen to music, get tan, check out milfs, and boss around little brats. It's not going to pay a whole lot but... does any high school job?
Papa Johns is a good bet if you have a car. You can make a lot of money in the right area working nights as a delivery person. Downsides are gas money, lot of miles on your car, but they'll hire anybody and they don't drug test (so watch out for the crackheads working the oven )
But seriously, bag groceries--or wait tables if you can. (Repeat advice above: do not bus tables for any "introductory" period, before they'll supposedly let you wait tables. It's a scam; nobody wants to bus tables.) Avoid minimum wage. Anything with tips is what you're after. In addition to the money, those jobs are much cooler than being a solitary delivery guy or flyer ninja. It's fun to meet interesting people across a wide swath of clientele (read: girls your age who don't necessarily go to the same school), and the conversations that come with service jobs are short enough so that you can walk off the creepy ones. If you're as awkward as I was at your age, you can use your job/get paid to develop game and/or a personality, if either is lacking. Also, odds are you'll spend the rest of your life in some office setting or another, interacting with the same ten-twenty co-workers for years on end. Put that fate off for as long as possible.
If you're any smart, private tutoring. I made $30 an hour working about 8-10 hours a week my senior year.