Hey buddy. Don't know why you're having such a hard time getting credit cards. I was approved for every card I applied for and this was all in my freshman year of college just a couple years ago.
Your best bet will be getting a credit card through your bank. Just ask for a student card and they'll understand that you're just a college student and you'll be approved for a card though the balance may not be very high--I'm gonna guess around the $500 range.
If that does not work, try applying for a PayPal or Amazon card. Not sure about you dude, but I purchased
everything from Amazon since I got to college. Best prices for pretty much everything 'sides from food and booze. The two above cards you might have a good chance of getting.
Looks like you tried applying for some good student cards and got denied for.. so that sucks, but as a last resort, try applying for a credit card that has a really high interest rate and that are geared towards those with "bad" credit. Many people always talk about getting the lowest interest rate possible (0% for a year, etc) but seriously, if you pay off your balance every month before the end of your grace period.. you're good to go. This "starter" card will help you build some initial credit and give you some rep to go with a high end rewards card by the time you're finished with your first year.
You're not going to find a card that gives you cash back or points right off the bat, unless you're really lucky or have a co-signer. Just opt for the shitty card now to work your way up. Honestly, I just liked having my credit card around for the convenience and it's much safer than utilizing a debit card since you don't have to type in your PIN all willy nilly. I don't think you'd want your dad to co-sign or he's going to see that you're spending your cash at stupid places like strip clubs and bars with your fake ID (go get one

).
People are saying that you don't need a credit card now, but they are wrong. You're pretty much going to be breast fed through college and a bit after if you don't have any form of credit by the time you graduate. You're going to need them to co-sign shit like an apartment or car.. don't you think that'd be kind of lame when you're 22?
I personally have better credit than my dad right now (score is hovering around 770, took a plummet because I have a $1000 balance right now on my credit cards) which is pretty good for a kid still in college. I've financed my own car with the best possible interest rate right now and even helped my dad take out a loan with his new truck just a month back. I'm no longer forced to put deposits down for utility bills and I've been signing leases for houses and apartments on my own (well, with some roommates too) since after my first year. Seriously, if you don't build credit now, you're going to feel a little restricted fresh out of college.
But yeah, ask your banks, try applying for places you shop at a lot (Amazon, BestBuy, whatever), and last resort, try to get a "bad" credit card. If you want your parents to hold your hand, ask them to co-sign for a card, but due note that they may be getting a copy of your transactions monthly

.
Edit: I personally think the Chase Freedom card is the best widely available credit card right now. It's a MasterCard so it's accepted everywhere unlike the Amex Blue cards and Discover CB. Once you build enough credit, try for a Schwab card. 2% cash back deposited into your account every month. My Chase Freedom and Schwab are my "main" cards. I use Amex Blue Air for Costco and Costco gas. I use my Discover for when they have their 5% bonuses. I have two other cards which were my "starter" cards that I charge a buck or two on every month. It's good to keep them around just to have the line of credit open and getting rid of them can potentially decrease your credit score.
Edit2: Also, don't max out your cards.. as it scares the credit card companies. I went from charging only a few hundred on my Amex and one month, I paid my summer tuition with it ($3300). They freaked out and decreased my limit from $5k to $4.3k and told me because it was because of my erratic spending. Didn't really bother me, but your score will take a hit by a couple points. I think the sweet spot for credit cards is to not spend past 30-40% of your given limit. Anyway, I'll stop posting shit because all I see now is a
WALL-o-TEXT.