Whether they're at the drugstore, things you can make at home, or available online, I'll try to cover all the bases of my normal routine in a cost effective manner...
Night Routine in order of steps:
Cleanser: Burt's Bees Soap Bark & Chamomile Deep Cleansing Cream - $7 (also at Whole Foods & Target). Its very rich and creamy. You may need to double wash to remove heavy makeup, but it's so dreamy overall.
Peel: I haven't actually tested a good alternative to the Dennis Gross Peel. I know L'Oreal makes a good one, but I don't believe it's cruelty free. The peel isn't necessary by any means though. I'll alternatively list a weekly mask that'll give somewhat similar brightening results.
Weekly mask: Innisfree Brightening Sheet Mask - $1 each. These are a fun treat. I love a good sheet mask to brighten, tighten, or whatever I feel I need that day. Innisfree makes my favorite line.
Toning Water: Mario Bedescu Rosewater - $7 (also available at Urban Outfitters). This smells super lovely and is very calming. I bring this same brand around with me in my bag all day.
Serum: Naturalico Vitamin C Serum - $12. Vitamin C at this concentration is really brightening for all skin types and helps protect skin from free radical damage.
Moisturizer: Weleda Skin Food - $12. This is the most hydrating cream I may have ever used. Some makeup artists will use it on set because even through all the heavy makeup, you'll still look dewy. I would suggest it at night because of all the calming botanical ingredients.
Lips: My sister swears by raw shea butter - $6.50 for lips
Eyes: Alba Green Tea Eye Gel - $12 (available at Target). Alba is a lovely botanical brand that I've trusted for years. Their products have never made me break out & have always been really effective. This is a very refreshing & quenching eye gel.
Oil: After the Weleda Skin Food, I doubt you'll need an oil, but if you do want one, or if you want to sub the oil for your moisturizer one night (I do this if I get bumps on my forehead) I suggest 100% Squalane Oil - $10. It's made from just olives, is super hydrating, and doesn't leave your skin greasy.
If buying the whole routine puts you out, I suggest at least a nice cleanser & moisturizer used every night before bed.
Cleanser: KOSE Cleansing Oil - $10. This is a nice Korean facial oil that'll take off any mascara worked out from your eyelashes while you slept & won't strip your skin of the little bit of natural moisture you've built since you washed before bed.
Moisture: To be honest, I don't even use a whole lot of moisturizer in the morning. I usually skip right to sunscreen unless I'm feeling fancy. So that is definitely the affordable option.
SPF: Alba Hawaiian Sunscreen SPF 45 - $6 (also available at Target). This is a simple and natural sunscreen for everyday use. I used it for about 4 years throughout college and am so thankful for its existence. It doubles as a nice moisturizer.
Lips: The Harry's brand lip balm I suggested before is actually only $3/tube and does have that nice bonus SPF 15, so I'll still list it here.
If you bought only one cleanser, I'd suggest the KOSE for it's makeup removing abilities.