Wolverine -
Wolverine doesn't get much glory at all, which is almost the opposite of Beowulf. Often times the missions he embarks on are for his own purpose and benefit. There's no one else involved to give him praise or glory. And when there is, he either ignores it, shrugs it off, or discreetly accepts it and quickly moves on. He's not around the same people for very long, if he's around people at all. So there's rarely anyone around to even give him a thank you for something he does. Though, it does occasionally happen.
Beowulf -
On the other hand, Beowulf receives many praises and rewards for his good deeds and bravery. The first is the glory he received for proving himself against Grendel, and keeping his arm as a trophy. The second is the praise he got for defeating Grendels' Mother and bringing back Grendels' head. He got yet another trophy, and even more glory to his name. You could say that ruling in peace for fifty years was a plus because people saw him as a great king, and praised him for that also. The very last reward was the dragons' treasure. Though Beowulf didn't actually get to keep that treasure, his people did. And it still counted towards his victories. Beowulf had all these benefits to being a hero, while Wolverine hardly got any at all.