As far as semi-auto hunting rifles go, you really only have a few options....
1. Browning BAR (to include newer MkII Safari's) is my favorite. I have one in .30/06 Springfield, .308 Winchester, .338 Win Mag and I just picked one up in .25/06 Remington not too long ago. They are good shooting guns, on par with most hunting-grade bolt-action rifles. I've been able to put up 1/2" groups some days, others I can barely manage 2" @ 100yds. But they are awesome guns that will last a lifetime. Though they are a tad on the heavy side due to all steel and real wood construction. An alloy and composite one is available (called the "Lightweight Stalker" I think) that weighs in around 7lbs IIRC. Expect to pay $600-$800 used in good condition, around $1k new.
2. Browning BAR (Short-Trac & Long-Trac). These rifles are nice, have just come onto market in the last 5 years or so. They are a bit more modern in appearance compared to the BAR MkII Safari's. They use an aluminum alloy receiver which saves on weight. Expect prices to match that of the other BAR's.
3. Remington 74 series. I have no experience with these guns at all. Know a few guys that have them and they kill deer with them just fine... I've seen them go for as little as $400 used, I'm not sure if Remington even makes these rifles anymore.
4. Benelli R1. I don't have a clue about this one. Never seen one in person, don't know anyone who has one. But, for the money they want for one, I'd buy a Browning and know that I'm getting a good lifetime gun.
5. AR-15 & AR-10 variants. You can get AR's in a whole slew of calibers from .204 Ruger on up to .50 Beowulf and everything in between. However, the AR-10 variants that you can get in calibers like .308 Winchester, .338 Federal, .260 Remington, 6.5 Creedmoor, 7mm-08, etc. are generally just as heavy as a Browning BAR by the time it's all said and done. Prices can be anywhere from $600-$1500 for most, used and/or new. Though there are a lot of AR's out there that cost more than a decent used truck.
That's about all the ones I can think of...